:: SCMFSA10 semantic presentation

REAL is non empty V28() set
NAT is non empty epsilon-transitive epsilon-connected ordinal V28() cardinal limit_cardinal countable denumerable Element of K6(REAL)
K6(REAL) is V28() set
SCM+FSA is V44() with_non-empty_values IC-Ins-separated strict V91(3) AMI-Struct over 3
3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
SCM+FSA-Memory is set
K514(NAT,SCM+FSA-Memory) is Element of SCM+FSA-Memory
K376() is non empty set
SCM+FSA-OK is Relation-like SCM+FSA-Memory -defined 3 -valued Function-like V40( SCM+FSA-Memory ,3) Element of K6(K7(SCM+FSA-Memory,3))
K7(SCM+FSA-Memory,3) is Relation-like set
K6(K7(SCM+FSA-Memory,3)) is set
SCM*-VAL is Relation-like 3 -defined Function-like total V147() set
SCM+FSA-Exec is Relation-like K376() -defined K162((product (SCM+FSA-OK * SCM*-VAL)),(product (SCM+FSA-OK * SCM*-VAL))) -valued Function-like V40(K376(),K162((product (SCM+FSA-OK * SCM*-VAL)),(product (SCM+FSA-OK * SCM*-VAL)))) Element of K6(K7(K376(),K162((product (SCM+FSA-OK * SCM*-VAL)),(product (SCM+FSA-OK * SCM*-VAL)))))
SCM+FSA-OK * SCM*-VAL is Relation-like SCM+FSA-Memory -defined Function-like set
product (SCM+FSA-OK * SCM*-VAL) is functional with_common_domain product-like set
K162((product (SCM+FSA-OK * SCM*-VAL)),(product (SCM+FSA-OK * SCM*-VAL))) is set
K7(K376(),K162((product (SCM+FSA-OK * SCM*-VAL)),(product (SCM+FSA-OK * SCM*-VAL)))) is Relation-like set
K6(K7(K376(),K162((product (SCM+FSA-OK * SCM*-VAL)),(product (SCM+FSA-OK * SCM*-VAL))))) is set
AMI-Struct(# SCM+FSA-Memory,K514(NAT,SCM+FSA-Memory),K376(),SCM+FSA-OK,SCM*-VAL,SCM+FSA-Exec #) is strict AMI-Struct over 3
the U1 of SCM+FSA is set
COMPLEX is non empty V28() set
omega is non empty epsilon-transitive epsilon-connected ordinal V28() cardinal limit_cardinal countable denumerable set
K6(omega) is V28() set
K6(NAT) is V28() set
9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
Segm 9 is countable Element of K6(omega)
SCM-Data-Loc is set
K208() is set
K6(K208()) is set
2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
K7(K208(),2) is Relation-like set
K6(K7(K208(),2)) is set
K210() is Relation-like K208() -defined 2 -valued Function-like V40(K208(),2) Element of K6(K7(K208(),2))
K211() is Relation-like 2 -defined Function-like total V147() set
K210() * K211() is Relation-like K208() -defined Function-like set
product (K210() * K211()) is functional with_common_domain product-like set
SCM-Instr is non empty set
K162((product (K210() * K211())),(product (K210() * K211()))) is set
K7(SCM-Instr,K162((product (K210() * K211())),(product (K210() * K211())))) is Relation-like set
K6(K7(SCM-Instr,K162((product (K210() * K211())),(product (K210() * K211()))))) is set
SCM is V44() with_non-empty_values IC-Ins-separated strict strict V91(2) AMI-Struct over 2
K514(NAT,K208()) is Element of K208()
K216() is Relation-like SCM-Instr -defined K162((product (K210() * K211())),(product (K210() * K211()))) -valued Function-like V40( SCM-Instr ,K162((product (K210() * K211())),(product (K210() * K211())))) Element of K6(K7(SCM-Instr,K162((product (K210() * K211())),(product (K210() * K211())))))
AMI-Struct(# K208(),K514(NAT,K208()),SCM-Instr,K210(),K211(),K216() #) is strict AMI-Struct over 2
the InstructionsF of SCM is non empty Relation-like standard-ins V73() J/A-independent V76() set
the U1 of SCM is set
the_Values_of SCM is Relation-like non-empty the U1 of SCM -defined Function-like total set
the Object-Kind of SCM is Relation-like the U1 of SCM -defined 2 -valued Function-like V40( the U1 of SCM,2) Element of K6(K7( the U1 of SCM,2))
K7( the U1 of SCM,2) is Relation-like set
K6(K7( the U1 of SCM,2)) is set
the ValuesF of SCM is Relation-like 2 -defined Function-like total V147() set
the Object-Kind of SCM * the ValuesF of SCM is Relation-like the U1 of SCM -defined Function-like set
K6( the U1 of SCM+FSA) is set
the InstructionsF of SCM+FSA is non empty Relation-like standard-ins V73() J/A-independent V76() set
INT is non empty V28() set
the_Values_of SCM+FSA is Relation-like non-empty the U1 of SCM+FSA -defined Function-like total set
the Object-Kind of SCM+FSA is Relation-like the U1 of SCM+FSA -defined 3 -valued Function-like V40( the U1 of SCM+FSA,3) Element of K6(K7( the U1 of SCM+FSA,3))
K7( the U1 of SCM+FSA,3) is Relation-like set
K6(K7( the U1 of SCM+FSA,3)) is set
the ValuesF of SCM+FSA is Relation-like 3 -defined Function-like total V147() set
the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA is Relation-like the U1 of SCM+FSA -defined Function-like set
K375() is set
K6(SCM+FSA-Memory) is set
RAT is non empty V28() set
{} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
the empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of NAT
Seg 1 is countable Element of K6(NAT)
{1} is non empty V2() 1 -element set
Seg 2 is countable Element of K6(NAT)
{1,2} is non empty set
SCM+FSA-Data*-Loc is Element of K6(SCM+FSA-Memory)
INT * is FinSequenceSet of INT
4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
6 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
7 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
10 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
11 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
12 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
IC is Element of the U1 of SCM+FSA
[0,{},{}] is V15() V16() set
[0,{}] is V15() set
{0,{}} is non empty functional set
{0} is non empty V2() functional 1 -element with_common_domain set
{{0,{}},{0}} is non empty set
[[0,{}],{}] is V15() set
{[0,{}],{}} is non empty set
{[0,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[0,{}],{}},{[0,{}]}} is non empty set
halt SCM+FSA is V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
halt the InstructionsF of SCM+FSA is ins-loc-free Element of the InstructionsF of SCM+FSA
halt SCM is V90(2, SCM ) Element of the InstructionsF of SCM
halt the InstructionsF of SCM is ins-loc-free Element of the InstructionsF of SCM
Data-Locations is Element of K6( the U1 of SCM+FSA)
Int-Locations is Element of K6( the U1 of SCM+FSA)
FinSeq-Locations is V28() Element of K6( the U1 of SCM+FSA)
Int-Locations \/ FinSeq-Locations is Element of K6( the U1 of SCM+FSA)
K209() is Element of K6(K208())
InsCodes the InstructionsF of SCM+FSA is non empty set
K97( the InstructionsF of SCM+FSA) is set
proj1 the InstructionsF of SCM+FSA is non empty set
proj1 (proj1 the InstructionsF of SCM+FSA) is set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is V11() V12() integer ext-real set
j is V11() V12() integer ext-real set
(I,i1) --> (a,j) is non empty Relation-like Function-like set
Values i1 is non empty set
(the_Values_of SCM+FSA) . i1 is set
Values I is non empty set
(the_Values_of SCM+FSA) . I is set
s1 is Element of Values I
k is Element of Values i1
(I,i1) --> (s1,k) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
I is Element of the U1 of SCM+FSA
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
I := i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[1,{},<*I,i1*>] is V15() V16() set
[1,{}] is V15() set
{1,{}} is non empty set
{{1,{}},{1}} is non empty set
[[1,{}],<*I,i1*>] is V15() set
{[1,{}],<*I,i1*>} is non empty set
{[1,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[1,{}],<*I,i1*>},{[1,{}]}} is non empty set
a is V63() Element of the U1 of SCM
j is V63() Element of the U1 of SCM
a := j is Element of the InstructionsF of SCM
<*a,j*> is set
[1,{},<*a,j*>] is V15() V16() set
[[1,{}],<*a,j*>] is V15() set
{[1,{}],<*a,j*>} is non empty set
{{[1,{}],<*a,j*>},{[1,{}]}} is non empty set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
AddTo (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[2,{},<*I,i1*>] is V15() V16() set
[2,{}] is V15() set
{2,{}} is non empty set
{2} is non empty V2() 1 -element set
{{2,{}},{2}} is non empty set
[[2,{}],<*I,i1*>] is V15() set
{[2,{}],<*I,i1*>} is non empty set
{[2,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[2,{}],<*I,i1*>},{[2,{}]}} is non empty set
a is V63() Element of the U1 of SCM
j is V63() Element of the U1 of SCM
AddTo (a,j) is Element of the InstructionsF of SCM
<*a,j*> is set
[2,{},<*a,j*>] is V15() V16() set
[[2,{}],<*a,j*>] is V15() set
{[2,{}],<*a,j*>} is non empty set
{{[2,{}],<*a,j*>},{[2,{}]}} is non empty set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
SubFrom (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[3,{},<*I,i1*>] is V15() V16() set
[3,{}] is V15() set
{3,{}} is non empty set
{3} is non empty V2() 1 -element set
{{3,{}},{3}} is non empty set
[[3,{}],<*I,i1*>] is V15() set
{[3,{}],<*I,i1*>} is non empty set
{[3,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[3,{}],<*I,i1*>},{[3,{}]}} is non empty set
a is V63() Element of the U1 of SCM
j is V63() Element of the U1 of SCM
SubFrom (a,j) is Element of the InstructionsF of SCM
<*a,j*> is set
[3,{},<*a,j*>] is V15() V16() set
[[3,{}],<*a,j*>] is V15() set
{[3,{}],<*a,j*>} is non empty set
{{[3,{}],<*a,j*>},{[3,{}]}} is non empty set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
MultBy (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[4,{},<*I,i1*>] is V15() V16() set
[4,{}] is V15() set
{4,{}} is non empty set
{4} is non empty V2() 1 -element set
{{4,{}},{4}} is non empty set
[[4,{}],<*I,i1*>] is V15() set
{[4,{}],<*I,i1*>} is non empty set
{[4,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[4,{}],<*I,i1*>},{[4,{}]}} is non empty set
a is V63() Element of the U1 of SCM
j is V63() Element of the U1 of SCM
MultBy (a,j) is Element of the InstructionsF of SCM
<*a,j*> is set
[4,{},<*a,j*>] is V15() V16() set
[[4,{}],<*a,j*>] is V15() set
{[4,{}],<*a,j*>} is non empty set
{{[4,{}],<*a,j*>},{[4,{}]}} is non empty set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
Divide (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[5,{},<*I,i1*>] is V15() V16() set
[5,{}] is V15() set
{5,{}} is non empty set
{5} is non empty V2() 1 -element set
{{5,{}},{5}} is non empty set
[[5,{}],<*I,i1*>] is V15() set
{[5,{}],<*I,i1*>} is non empty set
{[5,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[5,{}],<*I,i1*>},{[5,{}]}} is non empty set
a is V63() Element of the U1 of SCM
j is V63() Element of the U1 of SCM
Divide (a,j) is Element of the InstructionsF of SCM
<*a,j*> is set
[5,{},<*a,j*>] is V15() V16() set
[[5,{}],<*a,j*>] is V15() set
{[5,{}],<*a,j*>} is non empty set
{{[5,{}],<*a,j*>},{[5,{}]}} is non empty set
I is V63() Element of the U1 of SCM+FSA
<*I*> is Relation-like Function-like set
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
I =0_goto i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*i1*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
[7,<*i1*>,<*I*>] is V15() V16() set
[7,<*i1*>] is V15() set
{7,<*i1*>} is non empty set
{7} is non empty V2() 1 -element set
{{7,<*i1*>},{7}} is non empty set
[[7,<*i1*>],<*I*>] is V15() set
{[7,<*i1*>],<*I*>} is non empty set
{[7,<*i1*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[7,<*i1*>],<*I*>},{[7,<*i1*>]}} is non empty set
a is V63() Element of the U1 of SCM
a =0_goto i1 is Element of the InstructionsF of SCM
<*i1*> is Relation-like Function-like set
<*a*> is Relation-like Function-like set
[7,<*i1*>,<*a*>] is V15() V16() set
[7,<*i1*>] is V15() set
{7,<*i1*>} is non empty set
{{7,<*i1*>},{7}} is non empty set
[[7,<*i1*>],<*a*>] is V15() set
{[7,<*i1*>],<*a*>} is non empty set
{[7,<*i1*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[7,<*i1*>],<*a*>},{[7,<*i1*>]}} is non empty set
I is V63() Element of the U1 of SCM+FSA
<*I*> is Relation-like Function-like set
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
I >0_goto i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*i1*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
[8,<*i1*>,<*I*>] is V15() V16() set
[8,<*i1*>] is V15() set
{8,<*i1*>} is non empty set
{8} is non empty V2() 1 -element set
{{8,<*i1*>},{8}} is non empty set
[[8,<*i1*>],<*I*>] is V15() set
{[8,<*i1*>],<*I*>} is non empty set
{[8,<*i1*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[8,<*i1*>],<*I*>},{[8,<*i1*>]}} is non empty set
a is V63() Element of the U1 of SCM
a >0_goto i1 is Element of the InstructionsF of SCM
<*i1*> is Relation-like Function-like set
<*a*> is Relation-like Function-like set
[8,<*i1*>,<*a*>] is V15() V16() set
[8,<*i1*>] is V15() set
{8,<*i1*>} is non empty set
{{8,<*i1*>},{8}} is non empty set
[[8,<*i1*>],<*a*>] is V15() set
{[8,<*i1*>],<*a*>} is non empty set
{[8,<*i1*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[8,<*i1*>],<*a*>},{[8,<*i1*>]}} is non empty set
13 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
Segm 13 is countable Element of K6(omega)
(halt SCM+FSA) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((halt SCM+FSA)) is set
K87((halt SCM+FSA)) `3_3 is set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
I := i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(I := i1) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((I := i1)) is set
K87((I := i1)) `3_3 is set
<*I,i1*> is set
[1,{},<*I,i1*>] is V15() V16() set
[1,{}] is V15() set
{1,{}} is non empty set
{{1,{}},{1}} is non empty set
[[1,{}],<*I,i1*>] is V15() set
{[1,{}],<*I,i1*>} is non empty set
{[1,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[1,{}],<*I,i1*>},{[1,{}]}} is non empty set
[1,{},<*I,i1*>] `2_3 is set
K87([1,{},<*I,i1*>]) is set
K87([1,{},<*I,i1*>]) `3_3 is set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
AddTo (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(AddTo (I,i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((AddTo (I,i1))) is set
K87((AddTo (I,i1))) `3_3 is set
<*I,i1*> is set
[2,{},<*I,i1*>] is V15() V16() set
[2,{}] is V15() set
{2,{}} is non empty set
{2} is non empty V2() 1 -element set
{{2,{}},{2}} is non empty set
[[2,{}],<*I,i1*>] is V15() set
{[2,{}],<*I,i1*>} is non empty set
{[2,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[2,{}],<*I,i1*>},{[2,{}]}} is non empty set
[2,{},<*I,i1*>] `2_3 is set
K87([2,{},<*I,i1*>]) is set
K87([2,{},<*I,i1*>]) `3_3 is set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
SubFrom (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(SubFrom (I,i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((SubFrom (I,i1))) is set
K87((SubFrom (I,i1))) `3_3 is set
<*I,i1*> is set
[3,{},<*I,i1*>] is V15() V16() set
[3,{}] is V15() set
{3,{}} is non empty set
{3} is non empty V2() 1 -element set
{{3,{}},{3}} is non empty set
[[3,{}],<*I,i1*>] is V15() set
{[3,{}],<*I,i1*>} is non empty set
{[3,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[3,{}],<*I,i1*>},{[3,{}]}} is non empty set
[3,{},<*I,i1*>] `2_3 is set
K87([3,{},<*I,i1*>]) is set
K87([3,{},<*I,i1*>]) `3_3 is set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
MultBy (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(MultBy (I,i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((MultBy (I,i1))) is set
K87((MultBy (I,i1))) `3_3 is set
<*I,i1*> is set
[4,{},<*I,i1*>] is V15() V16() set
[4,{}] is V15() set
{4,{}} is non empty set
{4} is non empty V2() 1 -element set
{{4,{}},{4}} is non empty set
[[4,{}],<*I,i1*>] is V15() set
{[4,{}],<*I,i1*>} is non empty set
{[4,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[4,{}],<*I,i1*>},{[4,{}]}} is non empty set
[4,{},<*I,i1*>] `2_3 is set
K87([4,{},<*I,i1*>]) is set
K87([4,{},<*I,i1*>]) `3_3 is set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
Divide (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(Divide (I,i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((Divide (I,i1))) is set
K87((Divide (I,i1))) `3_3 is set
<*I,i1*> is set
[5,{},<*I,i1*>] is V15() V16() set
[5,{}] is V15() set
{5,{}} is non empty set
{5} is non empty V2() 1 -element set
{{5,{}},{5}} is non empty set
[[5,{}],<*I,i1*>] is V15() set
{[5,{}],<*I,i1*>} is non empty set
{[5,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[5,{}],<*I,i1*>},{[5,{}]}} is non empty set
[5,{},<*I,i1*>] `2_3 is set
K87([5,{},<*I,i1*>]) is set
K87([5,{},<*I,i1*>]) `3_3 is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
<*I*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
i1 is V63() Element of the U1 of SCM+FSA
i1 =0_goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(i1 =0_goto I) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((i1 =0_goto I)) is set
K87((i1 =0_goto I)) `3_3 is set
<*i1*> is Relation-like Function-like set
[7,<*I*>,<*i1*>] is V15() V16() set
[7,<*I*>] is V15() set
{7,<*I*>} is non empty set
{7} is non empty V2() 1 -element set
{{7,<*I*>},{7}} is non empty set
[[7,<*I*>],<*i1*>] is V15() set
{[7,<*I*>],<*i1*>} is non empty set
{[7,<*I*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[7,<*I*>],<*i1*>},{[7,<*I*>]}} is non empty set
[7,<*I*>,<*i1*>] `2_3 is set
K87([7,<*I*>,<*i1*>]) is set
K87([7,<*I*>,<*i1*>]) `3_3 is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
<*I*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
i1 is V63() Element of the U1 of SCM+FSA
i1 >0_goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(i1 >0_goto I) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((i1 >0_goto I)) is set
K87((i1 >0_goto I)) `3_3 is set
<*i1*> is Relation-like Function-like set
[8,<*I*>,<*i1*>] is V15() V16() set
[8,<*I*>] is V15() set
{8,<*I*>} is non empty set
{8} is non empty V2() 1 -element set
{{8,<*I*>},{8}} is non empty set
[[8,<*I*>],<*i1*>] is V15() set
{[8,<*I*>],<*i1*>} is non empty set
{[8,<*I*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[8,<*I*>],<*i1*>},{[8,<*I*>]}} is non empty set
[8,<*I*>,<*i1*>] `2_3 is set
K87([8,<*I*>,<*i1*>]) is set
K87([8,<*I*>,<*i1*>]) `3_3 is set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
i1 is set
InsCode (halt SCM+FSA) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87((halt SCM+FSA))) is set
{{}} is non empty V2() functional 1 -element with_common_domain set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b<sub>1</sub> `2_3) where b₁ is Element of the InstructionsF of SCM+FSA : InsCode b₁ = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
j := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
a is set
the V63() Element of the U1 of SCM+FSA := the V63() Element of the U1 of SCM+FSA is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
( the V63() Element of the U1 of SCM+FSA := the V63() Element of the U1 of SCM+FSA) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(( the V63() Element of the U1 of SCM+FSA := the V63() Element of the U1 of SCM+FSA)) is set
K87(( the V63() Element of the U1 of SCM+FSA := the V63() Element of the U1 of SCM+FSA)) `3_3 is set
InsCode ( the V63() Element of the U1 of SCM+FSA := the V63() Element of the U1 of SCM+FSA) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(( the V63() Element of the U1 of SCM+FSA := the V63() Element of the U1 of SCM+FSA))) is set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
AddTo (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
a is set
AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA))) is set
K87((AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA))) `3_3 is set
InsCode (AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87((AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)))) is set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b<sub>1</sub> `2_3) where b₁ is Element of the InstructionsF of SCM+FSA : InsCode b₁ = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
SubFrom (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
a is set
SubFrom ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(SubFrom ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((SubFrom ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA))) is set
K87((SubFrom ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA))) `3_3 is set
InsCode (SubFrom ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87((SubFrom ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)))) is set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
MultBy (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
a is set
MultBy ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(MultBy ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((MultBy ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA))) is set
K87((MultBy ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA))) `3_3 is set
InsCode (MultBy ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87((MultBy ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)))) is set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b<sub>1</sub> `2_3) where b₁ is Element of the InstructionsF of SCM+FSA : InsCode b₁ = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
Divide (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
a is set
Divide ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
(Divide ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((Divide ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA))) is set
K87((Divide ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA))) `3_3 is set
InsCode (Divide ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87((Divide ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)))) is set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = I } is set
product" (JumpParts I) is Relation-like Function-like set
proj1 (product" (JumpParts I)) is set
the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT is Element of the InstructionsF of SCM
<* the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT *> is Relation-like Function-like set
[6,<* the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT *>,{}] is V15() V16() set
[6,<* the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT *>] is V15() set
{6,<* the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT *>} is non empty set
{6} is non empty V2() 1 -element set
{{6,<* the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT *>},{6}} is non empty set
[[6,<* the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT *>],{}] is V15() set
(goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT )) is set
K87((goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT )) `3_3 is set
<* the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT *> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
InsCode (goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87((goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ))) is set
a is set
DOM (JumpParts I) is set
dom ((goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ) `2_3) is countable Element of K6(NAT)
a is set
j is Relation-like Function-like set
proj1 j is set
k is Element of the InstructionsF of SCM+FSA
k `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(k) is set
K87(k) `3_3 is set
InsCode k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(k)) is set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto s1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto s1 is Element of the InstructionsF of SCM
<*s1*> is Relation-like Function-like set
[6,<*s1*>,{}] is V15() V16() set
[6,<*s1*>] is V15() set
{6,<*s1*>} is non empty set
{{6,<*s1*>},{6}} is non empty set
[[6,<*s1*>],{}] is V15() set
<*s1*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = I } is set
product" (JumpParts I) is Relation-like Function-like set
proj1 (product" (JumpParts I)) is set
the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
the V63() Element of the U1 of SCM+FSA =0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
( the V63() Element of the U1 of SCM+FSA =0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(( the V63() Element of the U1 of SCM+FSA =0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT )) is set
K87(( the V63() Element of the U1 of SCM+FSA =0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT )) `3_3 is set
<* the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT *> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
InsCode ( the V63() Element of the U1 of SCM+FSA =0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(( the V63() Element of the U1 of SCM+FSA =0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ))) is set
j is set
DOM (JumpParts I) is set
dom (( the V63() Element of the U1 of SCM+FSA =0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ) `2_3) is countable Element of K6(NAT)
j is set
k is Relation-like Function-like set
proj1 k is set
s1 is Element of the InstructionsF of SCM+FSA
s1 `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(s1) is set
K87(s1) `3_3 is set
InsCode s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(s1)) is set
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k =0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*s2*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = I } is set
product" (JumpParts I) is Relation-like Function-like set
proj1 (product" (JumpParts I)) is set
the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
the V63() Element of the U1 of SCM+FSA >0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
( the V63() Element of the U1 of SCM+FSA >0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(( the V63() Element of the U1 of SCM+FSA >0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT )) is set
K87(( the V63() Element of the U1 of SCM+FSA >0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT )) `3_3 is set
<* the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT *> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
InsCode ( the V63() Element of the U1 of SCM+FSA >0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(( the V63() Element of the U1 of SCM+FSA >0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ))) is set
j is set
DOM (JumpParts I) is set
dom (( the V63() Element of the U1 of SCM+FSA >0_goto the epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT ) `2_3) is countable Element of K6(NAT)
j is set
k is Relation-like Function-like set
proj1 k is set
s1 is Element of the InstructionsF of SCM+FSA
s1 `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(s1) is set
K87(s1) `3_3 is set
InsCode s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(s1)) is set
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k >0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*s2*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
k is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
s1 is FinSeq-Location
k := (s1,j) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*k,s1,j*> is set
[9,{},<*k,s1,j*>] is V15() V16() set
[9,{}] is V15() set
{9,{}} is non empty set
{9} is non empty V2() 1 -element set
{{9,{}},{9}} is non empty set
[[9,{}],<*k,s1,j*>] is V15() set
{[9,{}],<*k,s1,j*>} is non empty set
{[9,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[9,{}],<*k,s1,j*>},{[9,{}]}} is non empty set
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
the FinSeq-Location is FinSeq-Location
j is set
the V63() Element of the U1 of SCM+FSA := ( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*> is set
[9,{},<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*>] is V15() V16() set
[[9,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*>] is V15() set
{[9,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*>} is non empty set
{{[9,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*>},{[9,{}]}} is non empty set
( the V63() Element of the U1 of SCM+FSA := ( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(( the V63() Element of the U1 of SCM+FSA := ( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA))) is set
K87(( the V63() Element of the U1 of SCM+FSA := ( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA))) `3_3 is set
InsCode ( the V63() Element of the U1 of SCM+FSA := ( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(( the V63() Element of the U1 of SCM+FSA := ( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA)))) is set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b<sub>1</sub> `2_3) where b₁ is Element of the InstructionsF of SCM+FSA : InsCode b₁ = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
k is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
s1 is FinSeq-Location
(s1,j) := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*k,s1,j*> is set
[10,{},<*k,s1,j*>] is V15() V16() set
[10,{}] is V15() set
{10,{}} is non empty set
{10} is non empty V2() 1 -element set
{{10,{}},{10}} is non empty set
[[10,{}],<*k,s1,j*>] is V15() set
{[10,{}],<*k,s1,j*>} is non empty set
{[10,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[10,{}],<*k,s1,j*>},{[10,{}]}} is non empty set
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
the FinSeq-Location is FinSeq-Location
j is set
( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA) := the V63() Element of the U1 of SCM+FSA is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*> is set
[10,{},<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*>] is V15() V16() set
[[10,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*>] is V15() set
{[10,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*>} is non empty set
{{[10,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location , the V63() Element of the U1 of SCM+FSA*>},{[10,{}]}} is non empty set
(( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA) := the V63() Element of the U1 of SCM+FSA) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA) := the V63() Element of the U1 of SCM+FSA)) is set
K87((( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA) := the V63() Element of the U1 of SCM+FSA)) `3_3 is set
InsCode (( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA) := the V63() Element of the U1 of SCM+FSA) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87((( the FinSeq-Location , the V63() Element of the U1 of SCM+FSA) := the V63() Element of the U1 of SCM+FSA))) is set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
j is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
j :=len k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*j,k*> is set
[11,{},<*j,k*>] is V15() V16() set
[11,{}] is V15() set
{11,{}} is non empty set
{11} is non empty V2() 1 -element set
{{11,{}},{11}} is non empty set
[[11,{}],<*j,k*>] is V15() set
{[11,{}],<*j,k*>} is non empty set
{[11,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[11,{}],<*j,k*>},{[11,{}]}} is non empty set
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
the FinSeq-Location is FinSeq-Location
j is set
the V63() Element of the U1 of SCM+FSA :=len the FinSeq-Location is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *> is set
[11,{},<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *>] is V15() V16() set
[[11,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *>] is V15() set
{[11,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *>} is non empty set
{{[11,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *>},{[11,{}]}} is non empty set
( the V63() Element of the U1 of SCM+FSA :=len the FinSeq-Location ) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(( the V63() Element of the U1 of SCM+FSA :=len the FinSeq-Location )) is set
K87(( the V63() Element of the U1 of SCM+FSA :=len the FinSeq-Location )) `3_3 is set
InsCode ( the V63() Element of the U1 of SCM+FSA :=len the FinSeq-Location ) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(( the V63() Element of the U1 of SCM+FSA :=len the FinSeq-Location ))) is set
I is Element of InsCodes the InstructionsF of SCM+FSA
JumpParts I is non empty functional with_common_domain product-like set
{ (b<sub>1</sub> `2_3) where b₁ is Element of the InstructionsF of SCM+FSA : InsCode b₁ = I } is set
i1 is set
a is Element of the InstructionsF of SCM+FSA
a `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(a) is set
K87(a) `3_3 is set
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(a)) is set
j is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
k :=<0,...,0> j is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*j,k*> is set
[12,{},<*j,k*>] is V15() V16() set
[12,{}] is V15() set
{12,{}} is non empty set
{12} is non empty V2() 1 -element set
{{12,{}},{12}} is non empty set
[[12,{}],<*j,k*>] is V15() set
{[12,{}],<*j,k*>} is non empty set
{[12,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[12,{}],<*j,k*>},{[12,{}]}} is non empty set
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
the FinSeq-Location is FinSeq-Location
j is set
the FinSeq-Location :=<0,...,0> the V63() Element of the U1 of SCM+FSA is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *> is set
[12,{},<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *>] is V15() V16() set
[[12,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *>] is V15() set
{[12,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *>} is non empty set
{{[12,{}],<* the V63() Element of the U1 of SCM+FSA, the FinSeq-Location *>},{[12,{}]}} is non empty set
( the FinSeq-Location :=<0,...,0> the V63() Element of the U1 of SCM+FSA) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(( the FinSeq-Location :=<0,...,0> the V63() Element of the U1 of SCM+FSA)) is set
K87(( the FinSeq-Location :=<0,...,0> the V63() Element of the U1 of SCM+FSA)) `3_3 is set
InsCode ( the FinSeq-Location :=<0,...,0> the V63() Element of the U1 of SCM+FSA) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(( the FinSeq-Location :=<0,...,0> the V63() Element of the U1 of SCM+FSA))) is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto I is Element of the InstructionsF of SCM
<*I*> is Relation-like Function-like set
[6,<*I*>,{}] is V15() V16() set
[6,<*I*>] is V15() set
{6,<*I*>} is non empty set
{6} is non empty V2() 1 -element set
{{6,<*I*>},{6}} is non empty set
[[6,<*I*>],{}] is V15() set
InsCode (goto I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((goto I)) is set
K87(K87((goto I))) is set
JumpParts (InsCode (goto I)) is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = InsCode (goto I) } is set
product" (JumpParts (InsCode (goto I))) is Relation-like Function-like set
(product" (JumpParts (InsCode (goto I)))) . 1 is set
proj1 (product" (JumpParts (InsCode (goto I)))) is set
i1 is set
pi ((JumpParts (InsCode (goto I))),1) is set
a is Relation-like Function-like set
a . 1 is set
j is Element of the InstructionsF of SCM+FSA
j `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(j) is set
K87(j) `3_3 is set
InsCode j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(j)) is set
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto k is Element of the InstructionsF of SCM
<*k*> is Relation-like Function-like set
[6,<*k*>,{}] is V15() V16() set
[6,<*k*>] is V15() set
{6,<*k*>} is non empty set
{{6,<*k*>},{6}} is non empty set
[[6,<*k*>],{}] is V15() set
<*k*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
i1 is set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
<*a*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
<*a*> . 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
goto a is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto a is Element of the InstructionsF of SCM
<*a*> is Relation-like Function-like set
[6,<*a*>,{}] is V15() V16() set
[6,<*a*>] is V15() set
{6,<*a*>} is non empty set
{{6,<*a*>},{6}} is non empty set
[[6,<*a*>],{}] is V15() set
InsCode (goto a) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((goto a)) is set
K87(K87((goto a))) is set
(goto a) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((goto a)) `3_3 is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 is V63() Element of the U1 of SCM+FSA
i1 =0_goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
InsCode (i1 =0_goto I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((i1 =0_goto I)) is set
K87(K87((i1 =0_goto I))) is set
JumpParts (InsCode (i1 =0_goto I)) is non empty functional with_common_domain product-like set
{ (b<sub>1</sub> `2_3) where b₁ is Element of the InstructionsF of SCM+FSA : InsCode b₁ = InsCode (i1 =0_goto I) } is set
product" (JumpParts (InsCode (i1 =0_goto I))) is Relation-like Function-like set
(product" (JumpParts (InsCode (i1 =0_goto I)))) . 1 is set
proj1 (product" (JumpParts (InsCode (i1 =0_goto I)))) is set
a is set
pi ((JumpParts (InsCode (i1 =0_goto I))),1) is set
j is Relation-like Function-like set
j . 1 is set
k is Element of the InstructionsF of SCM+FSA
k `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(k) is set
K87(k) `3_3 is set
InsCode k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(k)) is set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
s2 is V63() Element of the U1 of SCM+FSA
s2 =0_goto s1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*s1*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
a is set
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
<*j*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
<*j*> . 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
i1 =0_goto j is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
InsCode (i1 =0_goto j) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((i1 =0_goto j)) is set
K87(K87((i1 =0_goto j))) is set
(i1 =0_goto j) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((i1 =0_goto j)) `3_3 is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 is V63() Element of the U1 of SCM+FSA
i1 >0_goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
InsCode (i1 >0_goto I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((i1 >0_goto I)) is set
K87(K87((i1 >0_goto I))) is set
JumpParts (InsCode (i1 >0_goto I)) is non empty functional with_common_domain product-like set
{ (b₁ `2_3) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : InsCode b<sub>1</sub> = InsCode (i1 >0_goto I) } is set
product" (JumpParts (InsCode (i1 >0_goto I))) is Relation-like Function-like set
(product" (JumpParts (InsCode (i1 >0_goto I)))) . 1 is set
proj1 (product" (JumpParts (InsCode (i1 >0_goto I)))) is set
a is set
pi ((JumpParts (InsCode (i1 >0_goto I))),1) is set
j is Relation-like Function-like set
j . 1 is set
k is Element of the InstructionsF of SCM+FSA
k `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(k) is set
K87(k) `3_3 is set
InsCode k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87(k)) is set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
s2 is V63() Element of the U1 of SCM+FSA
s2 >0_goto s1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*s1*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
a is set
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
<*j*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
<*j*> . 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
i1 >0_goto j is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
InsCode (i1 >0_goto j) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((i1 >0_goto j)) is set
K87(K87((i1 >0_goto j))) is set
(i1 >0_goto j) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((i1 >0_goto j)) `3_3 is set
a is Element of the InstructionsF of SCM+FSA
JUMP a is countable Element of K6(NAT)
{ (NIC (a,b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC (a,b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
s2 is set
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC (a,k) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec (a,b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = k } is set
succ k is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ k)} is non empty V2() 1 -element set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC (a,s1) is countable Element of K6(NAT)
{ (IC (Exec (a,b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = s1 } is set
succ s1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
s1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ s1)} is non empty V2() 1 -element set
JUMP (halt SCM+FSA) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((halt SCM+FSA),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((halt SCM+FSA),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
I := i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
a is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((I := i1),a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(I := i1)) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(I := i1)) . a is set
(Exec ((I := i1),a)) . (IC ) is set
IC a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a . (IC ) is set
succ (IC a) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC a) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
AddTo (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
a is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((AddTo (I,i1)),a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(AddTo (I,i1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(AddTo (I,i1))) . a is set
(Exec ((AddTo (I,i1)),a)) . (IC ) is set
IC a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a . (IC ) is set
succ (IC a) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC a) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
SubFrom (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
a is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((SubFrom (I,i1)),a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(SubFrom (I,i1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(SubFrom (I,i1))) . a is set
(Exec ((SubFrom (I,i1)),a)) . (IC ) is set
IC a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a . (IC ) is set
succ (IC a) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC a) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
MultBy (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
a is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((MultBy (I,i1)),a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(MultBy (I,i1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(MultBy (I,i1))) . a is set
(Exec ((MultBy (I,i1)),a)) . (IC ) is set
IC a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a . (IC ) is set
succ (IC a) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC a) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
Divide (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
a is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((Divide (I,i1)),a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(Divide (I,i1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(Divide (I,i1))) . a is set
(Exec ((Divide (I,i1)),a)) . (IC ) is set
IC a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a . (IC ) is set
succ (IC a) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC a) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
I := i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
JUMP (I := i1) is countable Element of K6(NAT)
{ (NIC ((I := i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I := i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((I := i1),a) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((I := i1),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = a } is set
succ a is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ a)} is non empty V2() 1 -element set
AddTo (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
JUMP (AddTo (I,i1)) is countable Element of K6(NAT)
{ (NIC ((AddTo (I,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((AddTo (I,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((AddTo (I,i1)),a) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((AddTo (I,i1)),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = a } is set
succ a is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ a)} is non empty V2() 1 -element set
SubFrom (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
JUMP (SubFrom (I,i1)) is countable Element of K6(NAT)
{ (NIC ((SubFrom (I,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((SubFrom (I,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((SubFrom (I,i1)),a) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((SubFrom (I,i1)),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = a } is set
succ a is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ a)} is non empty V2() 1 -element set
MultBy (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
JUMP (MultBy (I,i1)) is countable Element of K6(NAT)
{ (NIC ((MultBy (I,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((MultBy (I,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((MultBy (I,i1)),a) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((MultBy (I,i1)),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = a } is set
succ a is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ a)} is non empty V2() 1 -element set
Divide (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
JUMP (Divide (I,i1)) is countable Element of K6(NAT)
{ (NIC ((Divide (I,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((Divide (I,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((Divide (I,i1)),a) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((Divide (I,i1)),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = a } is set
succ a is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ a)} is non empty V2() 1 -element set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto I is Element of the InstructionsF of SCM
<*I*> is Relation-like Function-like set
[6,<*I*>,{}] is V15() V16() set
[6,<*I*>] is V15() set
{6,<*I*>} is non empty set
{6} is non empty V2() 1 -element set
{{6,<*I*>},{6}} is non empty set
[[6,<*I*>],{}] is V15() set
{I} is non empty V2() 1 -element set
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((goto I),i1) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = i1 } is set
Values (IC ) is non empty set
(the_Values_of SCM+FSA) . (IC ) is set
j is Element of Values (IC )
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
a is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((IC ),j) is Relation-like the U1 of SCM+FSA -defined Function-like total set
the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set +* (i1,(goto I)) is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
proj1 the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is set
t is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
IC t is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
t . (IC ) is set
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
k /. i1 is Element of the InstructionsF of SCM+FSA
k . i1 is Element of the InstructionsF of SCM+FSA
proj1 the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set is set
k . k is Element of the InstructionsF of SCM+FSA
Following (k,t) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
CurInstr (k,t) is Element of the InstructionsF of SCM+FSA
k /. (IC t) is Element of the InstructionsF of SCM+FSA
Exec ((CurInstr (k,t)),t) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (k,t))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (k,t))) . t is set
IC (Following (k,t)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Following (k,t)) . (IC ) is set
j is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
Exec ((goto I),j) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(goto I)) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(goto I)) . j is set
IC (Exec ((goto I),j)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((goto I),j)) . (IC ) is set
IC j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
j . (IC ) is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto I is Element of the InstructionsF of SCM
<*I*> is Relation-like Function-like set
[6,<*I*>,{}] is V15() V16() set
[6,<*I*>] is V15() set
{6,<*I*>} is non empty set
{6} is non empty V2() 1 -element set
{{6,<*I*>},{6}} is non empty set
[[6,<*I*>],{}] is V15() set
JUMP (goto I) is countable Element of K6(NAT)
{ (NIC ((goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{I} is non empty V2() 1 -element set
NIC ((goto I),1) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = 1 } is set
a is set
j is set
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((goto I),k) is countable Element of K6(NAT)
{ (IC (Exec ((goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = k } is set
NIC ((goto I),I) is countable Element of K6(NAT)
{ (IC (Exec ((goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = I } is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto I is Element of the InstructionsF of SCM
<*I*> is Relation-like Function-like set
[6,<*I*>,{}] is V15() V16() set
[6,<*I*>] is V15() set
{6,<*I*>} is non empty set
{6} is non empty V2() 1 -element set
{{6,<*I*>},{6}} is non empty set
[[6,<*I*>],{}] is V15() set
JUMP (goto I) is countable Element of K6(NAT)
{ (NIC ((goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{I} is non empty V2() 1 -element set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
succ i1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ i1)} is non empty set
a is V63() Element of the U1 of SCM+FSA
a =0_goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
NIC ((a =0_goto I),i1) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((a =0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = i1 } is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
s1 is set
s2 is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
Exec ((a =0_goto I),s2) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(a =0_goto I)) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(a =0_goto I)) . s2 is set
IC (Exec ((a =0_goto I),s2)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((a =0_goto I),s2)) . (IC ) is set
IC s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
s2 . (IC ) is set
s2 . a is V11() V12() integer ext-real set
s2 . a is V11() V12() integer ext-real set
s2 . a is V11() V12() integer ext-real set
s1 is set
Values (IC ) is non empty set
(the_Values_of SCM+FSA) . (IC ) is set
k is Element of Values (IC )
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((IC ),k) is Relation-like the U1 of SCM+FSA -defined Function-like total set
the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set +* (i1,(a =0_goto I)) is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
t is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
a .--> 0 is non empty V2() Relation-like the U1 of SCM+FSA -defined {a} -defined NAT -valued INT -valued RAT -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible V28() 1 -element Cardinal-yielding countable data-only Function-yielding V95() V115() V116() V117() V118() V119() V120() V121() V122() V147() set
{a} is non empty V2() 1 -element set
{a} --> 0 is non empty Relation-like {a} -defined NAT -valued INT -valued RAT -valued {0} -valued Function-like constant total V40({a},{0}) Cardinal-yielding Function-yielding V95() V115() V116() V117() V118() Element of K6(K7({a},{0}))
K7({a},{0}) is Relation-like set
K6(K7({a},{0})) is set
t +* (a .--> 0) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
proj1 the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is set
proj1 (a .--> 0) is non empty V2() 1 -element set
v is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
IC v is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
v . (IC ) is set
IC t is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
t . (IC ) is set
P is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
k /. i1 is Element of the InstructionsF of SCM+FSA
k . i1 is Element of the InstructionsF of SCM+FSA
proj1 the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set is set
v . a is V11() V12() integer ext-real set
(a .--> 0) . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer Relation-like Function-like V28() cardinal countable ext-real non negative V114() V147() set
Following (k,v) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
CurInstr (k,v) is Element of the InstructionsF of SCM+FSA
k /. (IC v) is Element of the InstructionsF of SCM+FSA
Exec ((CurInstr (k,v)),v) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (k,v))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (k,v))) . v is set
IC (Following (k,v)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Following (k,v)) . (IC ) is set
t is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
a .--> 1 is non empty V2() Relation-like the U1 of SCM+FSA -defined {a} -defined NAT -valued INT -valued RAT -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible V28() 1 -element Cardinal-yielding countable data-only V115() V116() V117() V118() V119() V120() V121() V122() V147() set
{a} is non empty V2() 1 -element set
{a} --> 1 is non empty Relation-like non-empty {a} -defined NAT -valued INT -valued RAT -valued {1} -valued Function-like constant total V40({a},{1}) Cardinal-yielding V115() V116() V117() V118() Element of K6(K7({a},{1}))
K7({a},{1}) is Relation-like set
K6(K7({a},{1})) is set
t +* (a .--> 1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
proj1 the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is set
proj1 (a .--> 1) is non empty V2() 1 -element set
v is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
IC v is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
v . (IC ) is set
IC t is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
t . (IC ) is set
P is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
k /. i1 is Element of the InstructionsF of SCM+FSA
k . i1 is Element of the InstructionsF of SCM+FSA
proj1 the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set is set
v . a is V11() V12() integer ext-real set
(a .--> 1) . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
Following (k,v) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
CurInstr (k,v) is Element of the InstructionsF of SCM+FSA
k /. (IC v) is Element of the InstructionsF of SCM+FSA
Exec ((CurInstr (k,v)),v) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (k,v))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (k,v))) . v is set
IC (Following (k,v)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Following (k,v)) . (IC ) is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
{I} is non empty V2() 1 -element set
i1 is V63() Element of the U1 of SCM+FSA
i1 =0_goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
JUMP (i1 =0_goto I) is countable Element of K6(NAT)
{ (NIC ((i1 =0_goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((i1 =0_goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
k is set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((i1 =0_goto I),s1) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((i1 =0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = s1 } is set
succ s1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
s1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ s1)} is non empty set
j is set
NIC ((i1 =0_goto I),2) is countable Element of K6(NAT)
{ (IC (Exec ((i1 =0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = 2 } is set
succ 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ 2)} is non empty set
NIC ((i1 =0_goto I),1) is countable Element of K6(NAT)
{ (IC (Exec ((i1 =0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = 1 } is set
succ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ 1)} is non empty set
NIC ((i1 =0_goto I),I) is countable Element of K6(NAT)
{ (IC (Exec ((i1 =0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = I } is set
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
I is V63() Element of the U1 of SCM+FSA
I =0_goto i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
JUMP (I =0_goto i1) is countable Element of K6(NAT)
{ (NIC ((I =0_goto i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I =0_goto i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{i1} is non empty V2() 1 -element set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
succ i1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ i1)} is non empty set
a is V63() Element of the U1 of SCM+FSA
a >0_goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
NIC ((a >0_goto I),i1) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((a >0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = i1 } is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
s1 is set
s2 is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
Exec ((a >0_goto I),s2) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(a >0_goto I)) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(a >0_goto I)) . s2 is set
IC (Exec ((a >0_goto I),s2)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((a >0_goto I),s2)) . (IC ) is set
IC s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
s2 . (IC ) is set
s2 . a is V11() V12() integer ext-real set
s2 . a is V11() V12() integer ext-real set
s2 . a is V11() V12() integer ext-real set
s1 is set
Values (IC ) is non empty set
(the_Values_of SCM+FSA) . (IC ) is set
k is Element of Values (IC )
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((IC ),k) is Relation-like the U1 of SCM+FSA -defined Function-like total set
the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set +* (i1,(a >0_goto I)) is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
k is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
a .--> 1 is non empty V2() Relation-like the U1 of SCM+FSA -defined {a} -defined NAT -valued INT -valued RAT -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible V28() 1 -element Cardinal-yielding countable data-only V115() V116() V117() V118() V119() V120() V121() V122() V147() set
{a} is non empty V2() 1 -element set
{a} --> 1 is non empty Relation-like non-empty {a} -defined NAT -valued INT -valued RAT -valued {1} -valued Function-like constant total V40({a},{1}) Cardinal-yielding V115() V116() V117() V118() Element of K6(K7({a},{1}))
K7({a},{1}) is Relation-like set
K6(K7({a},{1})) is set
k +* (a .--> 1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
proj1 the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is set
proj1 (a .--> 1) is non empty V2() 1 -element set
v is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
IC v is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
v . (IC ) is set
IC k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k . (IC ) is set
t is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
P is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
P /. i1 is Element of the InstructionsF of SCM+FSA
P . i1 is Element of the InstructionsF of SCM+FSA
proj1 the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set is set
v . a is V11() V12() integer ext-real set
(a .--> 1) . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
Following (P,v) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
CurInstr (P,v) is Element of the InstructionsF of SCM+FSA
P /. (IC v) is Element of the InstructionsF of SCM+FSA
Exec ((CurInstr (P,v)),v) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (P,v))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (P,v))) . v is set
IC (Following (P,v)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Following (P,v)) . (IC ) is set
k is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
a .--> 0 is non empty V2() Relation-like the U1 of SCM+FSA -defined {a} -defined NAT -valued INT -valued RAT -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible V28() 1 -element Cardinal-yielding countable data-only Function-yielding V95() V115() V116() V117() V118() V119() V120() V121() V122() V147() set
{a} is non empty V2() 1 -element set
{a} --> 0 is non empty Relation-like {a} -defined NAT -valued INT -valued RAT -valued {0} -valued Function-like constant total V40({a},{0}) Cardinal-yielding Function-yielding V95() V115() V116() V117() V118() Element of K6(K7({a},{0}))
K7({a},{0}) is Relation-like set
K6(K7({a},{0})) is set
k +* (a .--> 0) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
proj1 the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is set
proj1 (a .--> 0) is non empty V2() 1 -element set
v is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA)
IC v is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
v . (IC ) is set
IC k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k . (IC ) is set
t is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
P is Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set
P /. i1 is Element of the InstructionsF of SCM+FSA
P . i1 is Element of the InstructionsF of SCM+FSA
proj1 the Relation-like NAT -defined the InstructionsF of SCM+FSA -valued Function-like total set is set
v . a is V11() V12() integer ext-real set
(a .--> 0) . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer Relation-like Function-like V28() cardinal countable ext-real non negative V114() V147() set
Following (P,v) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
CurInstr (P,v) is Element of the InstructionsF of SCM+FSA
P /. (IC v) is Element of the InstructionsF of SCM+FSA
Exec ((CurInstr (P,v)),v) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (P,v))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(CurInstr (P,v))) . v is set
IC (Following (P,v)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Following (P,v)) . (IC ) is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
{I} is non empty V2() 1 -element set
i1 is V63() Element of the U1 of SCM+FSA
i1 >0_goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
JUMP (i1 >0_goto I) is countable Element of K6(NAT)
{ (NIC ((i1 >0_goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((i1 >0_goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
k is set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((i1 >0_goto I),s1) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((i1 >0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = s1 } is set
succ s1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
s1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ s1)} is non empty set
j is set
NIC ((i1 >0_goto I),2) is countable Element of K6(NAT)
{ (IC (Exec ((i1 >0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = 2 } is set
succ 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ 2)} is non empty set
NIC ((i1 >0_goto I),1) is countable Element of K6(NAT)
{ (IC (Exec ((i1 >0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = 1 } is set
succ 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ 1)} is non empty set
NIC ((i1 >0_goto I),I) is countable Element of K6(NAT)
{ (IC (Exec ((i1 >0_goto I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = I } is set
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
I is V63() Element of the U1 of SCM+FSA
I >0_goto i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
JUMP (I >0_goto i1) is countable Element of K6(NAT)
{ (NIC ((I >0_goto i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I >0_goto i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{i1} is non empty V2() 1 -element set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is FinSeq-Location
I := (a,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*I,a,i1*> is set
[9,{},<*I,a,i1*>] is V15() V16() set
[9,{}] is V15() set
{9,{}} is non empty set
{9} is non empty V2() 1 -element set
{{9,{}},{9}} is non empty set
[[9,{}],<*I,a,i1*>] is V15() set
{[9,{}],<*I,a,i1*>} is non empty set
{[9,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[9,{}],<*I,a,i1*>},{[9,{}]}} is non empty set
j is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((I := (a,i1)),j) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(I := (a,i1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(I := (a,i1))) . j is set
(Exec ((I := (a,i1)),j)) . (IC ) is set
IC j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
j . (IC ) is set
succ (IC j) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC j) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is FinSeq-Location
I := (a,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*I,a,i1*> is set
[9,{},<*I,a,i1*>] is V15() V16() set
[[9,{}],<*I,a,i1*>] is V15() set
{[9,{}],<*I,a,i1*>} is non empty set
{{[9,{}],<*I,a,i1*>},{[9,{}]}} is non empty set
JUMP (I := (a,i1)) is countable Element of K6(NAT)
{ (NIC ((I := (a,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I := (a,i1)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((I := (a,i1)),j) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((I := (a,i1)),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = j } is set
succ j is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
j + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ j)} is non empty V2() 1 -element set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is FinSeq-Location
(a,i1) := I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*I,a,i1*> is set
[10,{},<*I,a,i1*>] is V15() V16() set
[10,{}] is V15() set
{10,{}} is non empty set
{10} is non empty V2() 1 -element set
{{10,{}},{10}} is non empty set
[[10,{}],<*I,a,i1*>] is V15() set
{[10,{}],<*I,a,i1*>} is non empty set
{[10,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[10,{}],<*I,a,i1*>},{[10,{}]}} is non empty set
j is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec (((a,i1) := I),j) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((a,i1) := I)) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((a,i1) := I)) . j is set
(Exec (((a,i1) := I),j)) . (IC ) is set
IC j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
j . (IC ) is set
succ (IC j) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC j) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is FinSeq-Location
(a,i1) := I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*I,a,i1*> is set
[10,{},<*I,a,i1*>] is V15() V16() set
[[10,{}],<*I,a,i1*>] is V15() set
{[10,{}],<*I,a,i1*>} is non empty set
{{[10,{}],<*I,a,i1*>},{[10,{}]}} is non empty set
JUMP ((a,i1) := I) is countable Element of K6(NAT)
{ (NIC (((a,i1) := I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC (((a,i1) := I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC (((a,i1) := I),j) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec (((a,i1) := I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = j } is set
succ j is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
j + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ j)} is non empty V2() 1 -element set
I is V63() Element of the U1 of SCM+FSA
i1 is FinSeq-Location
I :=len i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[11,{},<*I,i1*>] is V15() V16() set
[11,{}] is V15() set
{11,{}} is non empty set
{11} is non empty V2() 1 -element set
{{11,{}},{11}} is non empty set
[[11,{}],<*I,i1*>] is V15() set
{[11,{}],<*I,i1*>} is non empty set
{[11,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[11,{}],<*I,i1*>},{[11,{}]}} is non empty set
a is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((I :=len i1),a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(I :=len i1)) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(I :=len i1)) . a is set
(Exec ((I :=len i1),a)) . (IC ) is set
IC a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a . (IC ) is set
succ (IC a) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC a) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
I is V63() Element of the U1 of SCM+FSA
i1 is FinSeq-Location
I :=len i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[11,{},<*I,i1*>] is V15() V16() set
[[11,{}],<*I,i1*>] is V15() set
{[11,{}],<*I,i1*>} is non empty set
{{[11,{}],<*I,i1*>},{[11,{}]}} is non empty set
JUMP (I :=len i1) is countable Element of K6(NAT)
{ (NIC ((I :=len i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I :=len i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((I :=len i1),a) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((I :=len i1),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = a } is set
succ a is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ a)} is non empty V2() 1 -element set
I is V63() Element of the U1 of SCM+FSA
i1 is FinSeq-Location
i1 :=<0,...,0> I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[12,{},<*I,i1*>] is V15() V16() set
[12,{}] is V15() set
{12,{}} is non empty set
{12} is non empty V2() 1 -element set
{{12,{}},{12}} is non empty set
[[12,{}],<*I,i1*>] is V15() set
{[12,{}],<*I,i1*>} is non empty set
{[12,{}]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[12,{}],<*I,i1*>},{[12,{}]}} is non empty set
a is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((i1 :=<0,...,0> I),a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(i1 :=<0,...,0> I)) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(i1 :=<0,...,0> I)) . a is set
(Exec ((i1 :=<0,...,0> I),a)) . (IC ) is set
IC a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a . (IC ) is set
succ (IC a) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC a) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
I is V63() Element of the U1 of SCM+FSA
i1 is FinSeq-Location
i1 :=<0,...,0> I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[12,{},<*I,i1*>] is V15() V16() set
[[12,{}],<*I,i1*>] is V15() set
{[12,{}],<*I,i1*>} is non empty set
{{[12,{}],<*I,i1*>},{[12,{}]}} is non empty set
JUMP (i1 :=<0,...,0> I) is countable Element of K6(NAT)
{ (NIC ((i1 :=<0,...,0> I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((i1 :=<0,...,0> I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
NIC ((i1 :=<0,...,0> I),a) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec ((i1 :=<0,...,0> I),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = a } is set
succ a is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{(succ a)} is non empty V2() 1 -element set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
SUCC (I,SCM+FSA) is countable Element of K6(NAT)
{ ((NIC (b<sub>1</sub>,I)) \ (JUMP b<sub>1</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
union { ((NIC (b<sub>1</sub>,I)) \ (JUMP b<sub>1</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
succ I is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
I + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ I)} is non empty set
j is set
k is set
s1 is Element of the InstructionsF of SCM+FSA
NIC (s1,I) is countable Element of K6(NAT)
product (the_Values_of SCM+FSA) is non empty functional with_common_domain product-like set
{ (IC (Exec (s1,b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = I } is set
JUMP s1 is countable Element of K6(NAT)
{ (NIC (s1,b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC (s1,b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
(NIC (s1,I)) \ (JUMP s1) is countable Element of K6(NAT)
{I} is non empty V2() 1 -element set
{I} \ (JUMP (halt SCM+FSA)) is Element of K6({I})
K6({I}) is set
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
s2 := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
s2 := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
{(succ I)} is non empty V2() 1 -element set
JUMP (s2 := k) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((s2 := k),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((s2 := k),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (s2 := k)) is Element of K6({(succ I)})
K6({(succ I)}) is set
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
AddTo (s2,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
AddTo (s2,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
{(succ I)} is non empty V2() 1 -element set
JUMP (AddTo (s2,k)) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((AddTo (s2,k)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((AddTo (s2,k)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (AddTo (s2,k))) is Element of K6({(succ I)})
K6({(succ I)}) is set
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
SubFrom (s2,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
SubFrom (s2,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
{(succ I)} is non empty V2() 1 -element set
JUMP (SubFrom (s2,k)) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((SubFrom (s2,k)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((SubFrom (s2,k)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (SubFrom (s2,k))) is Element of K6({(succ I)})
K6({(succ I)}) is set
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
MultBy (s2,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
MultBy (s2,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
{(succ I)} is non empty V2() 1 -element set
JUMP (MultBy (s2,k)) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((MultBy (s2,k)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((MultBy (s2,k)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (MultBy (s2,k))) is Element of K6({(succ I)})
K6({(succ I)}) is set
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
Divide (s2,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
s2 is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
Divide (s2,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
{(succ I)} is non empty V2() 1 -element set
JUMP (Divide (s2,k)) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((Divide (s2,k)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((Divide (s2,k)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (Divide (s2,k))) is Element of K6({(succ I)})
K6({(succ I)}) is set
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto s2 is Element of the InstructionsF of SCM
<*s2*> is Relation-like Function-like set
[6,<*s2*>,{}] is V15() V16() set
[6,<*s2*>] is V15() set
{6,<*s2*>} is non empty set
{{6,<*s2*>},{6}} is non empty set
[[6,<*s2*>],{}] is V15() set
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto s2 is Element of the InstructionsF of SCM
<*s2*> is Relation-like Function-like set
[6,<*s2*>,{}] is V15() V16() set
[6,<*s2*>] is V15() set
{6,<*s2*>} is non empty set
{{6,<*s2*>},{6}} is non empty set
[[6,<*s2*>],{}] is V15() set
{s2} is non empty V2() 1 -element set
{s2} \ (JUMP s1) is Element of K6({s2})
K6({s2}) is set
{s2} \ {s2} is Element of K6({s2})
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k =0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k =0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
{s2,(succ I)} is non empty set
{s2} is non empty V2() 1 -element set
(NIC (s1,I)) \ {s2} is countable Element of K6(NAT)
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k >0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k >0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
{s2,(succ I)} is non empty set
{s2} is non empty V2() 1 -element set
(NIC (s1,I)) \ {s2} is countable Element of K6(NAT)
k is V63() Element of the U1 of SCM+FSA
s2 is V63() Element of the U1 of SCM+FSA
t is FinSeq-Location
k := (t,s2) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*k,t,s2*> is set
[9,{},<*k,t,s2*>] is V15() V16() set
[[9,{}],<*k,t,s2*>] is V15() set
{[9,{}],<*k,t,s2*>} is non empty set
{{[9,{}],<*k,t,s2*>},{[9,{}]}} is non empty set
k is V63() Element of the U1 of SCM+FSA
s2 is V63() Element of the U1 of SCM+FSA
t is FinSeq-Location
k := (t,s2) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*k,t,s2*> is set
[9,{},<*k,t,s2*>] is V15() V16() set
[[9,{}],<*k,t,s2*>] is V15() set
{[9,{}],<*k,t,s2*>} is non empty set
{{[9,{}],<*k,t,s2*>},{[9,{}]}} is non empty set
{(succ I)} is non empty V2() 1 -element set
JUMP (k := (t,s2)) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((k := (t,s2)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((k := (t,s2)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (k := (t,s2))) is Element of K6({(succ I)})
K6({(succ I)}) is set
k is V63() Element of the U1 of SCM+FSA
s2 is V63() Element of the U1 of SCM+FSA
t is FinSeq-Location
(t,s2) := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*k,t,s2*> is set
[10,{},<*k,t,s2*>] is V15() V16() set
[[10,{}],<*k,t,s2*>] is V15() set
{[10,{}],<*k,t,s2*>} is non empty set
{{[10,{}],<*k,t,s2*>},{[10,{}]}} is non empty set
k is V63() Element of the U1 of SCM+FSA
s2 is V63() Element of the U1 of SCM+FSA
t is FinSeq-Location
(t,s2) := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*k,t,s2*> is set
[10,{},<*k,t,s2*>] is V15() V16() set
[[10,{}],<*k,t,s2*>] is V15() set
{[10,{}],<*k,t,s2*>} is non empty set
{{[10,{}],<*k,t,s2*>},{[10,{}]}} is non empty set
{(succ I)} is non empty V2() 1 -element set
JUMP ((t,s2) := k) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC (((t,s2) := k),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC (((t,s2) := k),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP ((t,s2) := k)) is Element of K6({(succ I)})
K6({(succ I)}) is set
s2 is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
s2 :=len k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*s2,k*> is set
[11,{},<*s2,k*>] is V15() V16() set
[[11,{}],<*s2,k*>] is V15() set
{[11,{}],<*s2,k*>} is non empty set
{{[11,{}],<*s2,k*>},{[11,{}]}} is non empty set
s2 is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
s2 :=len k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*s2,k*> is set
[11,{},<*s2,k*>] is V15() V16() set
[[11,{}],<*s2,k*>] is V15() set
{[11,{}],<*s2,k*>} is non empty set
{{[11,{}],<*s2,k*>},{[11,{}]}} is non empty set
{(succ I)} is non empty V2() 1 -element set
JUMP (s2 :=len k) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((s2 :=len k),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((s2 :=len k),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (s2 :=len k)) is Element of K6({(succ I)})
K6({(succ I)}) is set
s2 is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
k :=<0,...,0> s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*s2,k*> is set
[12,{},<*s2,k*>] is V15() V16() set
[[12,{}],<*s2,k*>] is V15() set
{[12,{}],<*s2,k*>} is non empty set
{{[12,{}],<*s2,k*>},{[12,{}]}} is non empty set
s2 is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
k :=<0,...,0> s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*s2,k*> is set
[12,{},<*s2,k*>] is V15() V16() set
[[12,{}],<*s2,k*>] is V15() set
{[12,{}],<*s2,k*>} is non empty set
{{[12,{}],<*s2,k*>},{[12,{}]}} is non empty set
{(succ I)} is non empty V2() 1 -element set
JUMP (k :=<0,...,0> s2) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((k :=<0,...,0> s2),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((k :=<0,...,0> s2),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
{(succ I)} \ (JUMP (k :=<0,...,0> s2)) is Element of K6({(succ I)})
K6({(succ I)}) is set
NIC ((halt SCM+FSA),I) is countable Element of K6(NAT)
{ (IC (Exec ((halt SCM+FSA),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = I } is set
(NIC ((halt SCM+FSA),I)) \ (JUMP (halt SCM+FSA)) is countable Element of K6(NAT)
{I} is non empty V2() 1 -element set
{ ((NIC (b<sub>2</sub>,I)) \ (JUMP b<sub>2</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
union { ((NIC (b<sub>2</sub>,I)) \ (JUMP b<sub>2</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
the V63() Element of the U1 of SCM+FSA is V63() Element of the U1 of SCM+FSA
AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
NIC ((AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)),I) is countable Element of K6(NAT)
{ (IC (Exec ((AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)),b<sub>1</sub>))) where b<sub>1</sub> is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total Element of product (the_Values_of SCM+FSA) : IC b<sub>1</sub> = I } is set
JUMP (AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() Element of K6(NAT)
{ (NIC ((AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
(NIC ((AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA)),I)) \ (JUMP (AddTo ( the V63() Element of the U1 of SCM+FSA, the V63() Element of the U1 of SCM+FSA))) is countable Element of K6(NAT)
{(succ I)} is non empty V2() 1 -element set
{ ((NIC (b<sub>2</sub>,I)) \ (JUMP b<sub>2</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
union { ((NIC (b<sub>2</sub>,I)) \ (JUMP b<sub>2</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
{ ((NIC (b<sub>2</sub>,I)) \ (JUMP b<sub>2</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
union { ((NIC (b<sub>2</sub>,I)) \ (JUMP b<sub>2</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
I + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
SUCC (I,SCM+FSA) is countable Element of K6(NAT)
{ ((NIC (b<sub>1</sub>,I)) \ (JUMP b<sub>1</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
union { ((NIC (b<sub>1</sub>,I)) \ (JUMP b<sub>1</sub>)) where b<sub>1</sub> is Element of the InstructionsF of SCM+FSA : verum } is set
succ I is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
I + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
{I,(succ I)} is non empty set
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
InsCode (halt SCM+FSA) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(K87((halt SCM+FSA))) is set
a is Element of the InstructionsF of SCM+FSA
InsCode a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(a) is set
K87(K87(a)) is set
i1 is Element of the U1 of SCM+FSA
I is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec (a,I) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,a) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,a) . I is set
(Exec (a,I)) . i1 is set
I . i1 is set
I is Element of InsCodes the InstructionsF of SCM+FSA
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto I is Element of the InstructionsF of SCM
<*I*> is Relation-like Function-like set
[6,<*I*>,{}] is V15() V16() set
[6,<*I*>] is V15() set
{6,<*I*>} is non empty set
{{6,<*I*>},{6}} is non empty set
[[6,<*I*>],{}] is V15() set
InsCode (goto I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((goto I)) is set
K87(K87((goto I))) is set
k is Element of the InstructionsF of SCM+FSA
InsCode k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(k) is set
K87(K87(k)) is set
j is Element of the U1 of SCM+FSA
a is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec (k,a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,k) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,k) . a is set
(Exec (k,a)) . j is set
a . j is set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto s1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto s1 is Element of the InstructionsF of SCM
<*s1*> is Relation-like Function-like set
[6,<*s1*>,{}] is V15() V16() set
[6,<*s1*>] is V15() set
{6,<*s1*>} is non empty set
{{6,<*s1*>},{6}} is non empty set
[[6,<*s1*>],{}] is V15() set
a is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec (k,a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,k) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,k) . a is set
(Exec (k,a)) . j is set
a . j is set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto s1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto s1 is Element of the InstructionsF of SCM
<*s1*> is Relation-like Function-like set
[6,<*s1*>,{}] is V15() V16() set
[6,<*s1*>] is V15() set
{6,<*s1*>} is non empty set
{{6,<*s1*>},{6}} is non empty set
[[6,<*s1*>],{}] is V15() set
a is Element of InsCodes the InstructionsF of SCM+FSA
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
SCM-goto I is Element of the InstructionsF of SCM
<*I*> is Relation-like Function-like set
[6,<*I*>,{}] is V15() V16() set
[6,<*I*>] is V15() set
{6,<*I*>} is non empty set
{{6,<*I*>},{6}} is non empty set
[[6,<*I*>],{}] is V15() set
InsCode (goto I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((goto I)) is set
K87(K87((goto I))) is set
JUMP (goto I) is non empty V2() 1 -element countable Element of K6(NAT)
{ (NIC ((goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((goto I),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
(goto I) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((goto I)) `3_3 is set
dom ((goto I) `2_3) is countable Element of K6(NAT)
<*I*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
dom <*I*> is countable Element of K6(NAT)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
I is V63() Element of the U1 of SCM+FSA
I =0_goto i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
InsCode (I =0_goto i1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((I =0_goto i1)) is set
K87(K87((I =0_goto i1))) is set
s1 is Element of the InstructionsF of SCM+FSA
InsCode s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(s1) is set
K87(K87(s1)) is set
k is Element of the U1 of SCM+FSA
j is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec (s1,j) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,s1) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,s1) . j is set
(Exec (s1,j)) . k is set
j . k is set
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k =0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
j is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec (s1,j) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,s1) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,s1) . j is set
(Exec (s1,j)) . k is set
j . k is set
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k =0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
j is Element of InsCodes the InstructionsF of SCM+FSA
I >0_goto i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
InsCode (I >0_goto i1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((I >0_goto i1)) is set
K87(K87((I >0_goto i1))) is set
s1 is Element of the InstructionsF of SCM+FSA
InsCode s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(s1) is set
K87(K87(s1)) is set
k is Element of the U1 of SCM+FSA
j is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec (s1,j) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,s1) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,s1) . j is set
(Exec (s1,j)) . k is set
j . k is set
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k >0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
j is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec (s1,j) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,s1) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,s1) . j is set
(Exec (s1,j)) . k is set
j . k is set
s2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k >0_goto s2 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
j is Element of InsCodes the InstructionsF of SCM+FSA
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
I is V63() Element of the U1 of SCM+FSA
I =0_goto i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
InsCode (I =0_goto i1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((I =0_goto i1)) is set
K87(K87((I =0_goto i1))) is set
JUMP (I =0_goto i1) is non empty V2() 1 -element countable Element of K6(NAT)
{ (NIC ((I =0_goto i1),b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I =0_goto i1),b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
(I =0_goto i1) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((I =0_goto i1)) `3_3 is set
dom ((I =0_goto i1) `2_3) is countable Element of K6(NAT)
<*i1*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
dom <*i1*> is countable Element of K6(NAT)
I >0_goto i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) Element of the InstructionsF of SCM+FSA
InsCode (I >0_goto i1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((I >0_goto i1)) is set
K87(K87((I >0_goto i1))) is set
JUMP (I >0_goto i1) is non empty V2() 1 -element countable Element of K6(NAT)
{ (NIC ((I >0_goto i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC ((I >0_goto i1),b<sub>1</sub>)) where b<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
(I >0_goto i1) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((I >0_goto i1)) `3_3 is set
dom ((I >0_goto i1) `2_3) is countable Element of K6(NAT)
<*i1*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
dom <*i1*> is countable Element of K6(NAT)
intloc 0 is V63() Element of the U1 of SCM+FSA
dl. 0 is V63() Element of the U1 of SCM
[1,0] is V15() set
{1,0} is non empty set
{{1,0},{1}} is non empty set
intloc 1 is V63() Element of the U1 of SCM+FSA
dl. 1 is V63() Element of the U1 of SCM
[1,1] is V15() set
{1,1} is non empty set
{{1,1},{1}} is non empty set
I is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
I := i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode (I := i1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((I := i1)) is set
K87(K87((I := i1))) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
((intloc 0),(intloc 1),0,1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
(intloc 0) := (intloc 1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode ((intloc 0) := (intloc 1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(((intloc 0) := (intloc 1))) is set
K87(K87(((intloc 0) := (intloc 1)))) is set
proj1 ((intloc 0),(intloc 1),0,1) is non empty set
{(intloc 0),(intloc 1)} is non empty set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) . (intloc 0) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),0,1) . (intloc 0) is set
Exec (((intloc 0) := (intloc 1)),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((intloc 0) := (intloc 1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((intloc 0) := (intloc 1))) . ( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) is set
(Exec (((intloc 0) := (intloc 1)),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)))) . (intloc 0) is V11() V12() integer ext-real set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) . (intloc 1) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),0,1) . (intloc 1) is set
k is Element of InsCodes the InstructionsF of SCM+FSA
AddTo (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode (AddTo (I,i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((AddTo (I,i1))) is set
K87(K87((AddTo (I,i1)))) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
((intloc 0),(intloc 1),0,1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
AddTo ((intloc 0),(intloc 1)) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode (AddTo ((intloc 0),(intloc 1))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((AddTo ((intloc 0),(intloc 1)))) is set
K87(K87((AddTo ((intloc 0),(intloc 1))))) is set
proj1 ((intloc 0),(intloc 1),0,1) is non empty set
{(intloc 0),(intloc 1)} is non empty set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) . (intloc 0) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),0,1) . (intloc 0) is set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) . (intloc 1) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),0,1) . (intloc 1) is set
Exec ((AddTo ((intloc 0),(intloc 1))),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(AddTo ((intloc 0),(intloc 1)))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(AddTo ((intloc 0),(intloc 1)))) . ( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) is set
(Exec ((AddTo ((intloc 0),(intloc 1))),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)))) . (intloc 0) is V11() V12() integer ext-real set
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
k is Element of InsCodes the InstructionsF of SCM+FSA
SubFrom (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode (SubFrom (I,i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((SubFrom (I,i1))) is set
K87(K87((SubFrom (I,i1)))) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
((intloc 0),(intloc 1),0,1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
SubFrom ((intloc 0),(intloc 1)) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode (SubFrom ((intloc 0),(intloc 1))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((SubFrom ((intloc 0),(intloc 1)))) is set
K87(K87((SubFrom ((intloc 0),(intloc 1))))) is set
proj1 ((intloc 0),(intloc 1),0,1) is non empty set
{(intloc 0),(intloc 1)} is non empty set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) . (intloc 0) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),0,1) . (intloc 0) is set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) . (intloc 1) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),0,1) . (intloc 1) is set
Exec ((SubFrom ((intloc 0),(intloc 1))),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(SubFrom ((intloc 0),(intloc 1)))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(SubFrom ((intloc 0),(intloc 1)))) . ( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) is set
(Exec ((SubFrom ((intloc 0),(intloc 1))),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)))) . (intloc 0) is V11() V12() integer ext-real set
(( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) . (intloc 0)) - (( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),0,1)) . (intloc 1)) is V11() V12() integer ext-real set
- 1 is V11() V12() integer ext-real non positive set
k is Element of InsCodes the InstructionsF of SCM+FSA
MultBy (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode (MultBy (I,i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((MultBy (I,i1))) is set
K87(K87((MultBy (I,i1)))) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
((intloc 0),(intloc 1),1,0) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),1,0) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
MultBy ((intloc 0),(intloc 1)) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode (MultBy ((intloc 0),(intloc 1))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((MultBy ((intloc 0),(intloc 1)))) is set
K87(K87((MultBy ((intloc 0),(intloc 1))))) is set
proj1 ((intloc 0),(intloc 1),1,0) is non empty set
{(intloc 0),(intloc 1)} is non empty set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),1,0)) . (intloc 0) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),1,0) . (intloc 0) is set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),1,0)) . (intloc 1) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),1,0) . (intloc 1) is set
Exec ((MultBy ((intloc 0),(intloc 1))),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),1,0))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(MultBy ((intloc 0),(intloc 1)))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(MultBy ((intloc 0),(intloc 1)))) . ( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),1,0)) is set
(Exec ((MultBy ((intloc 0),(intloc 1))),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),1,0)))) . (intloc 0) is V11() V12() integer ext-real set
(( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),1,0)) . (intloc 0)) * (( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),1,0)) . (intloc 1)) is V11() V12() integer ext-real set
k is Element of InsCodes the InstructionsF of SCM+FSA
Divide (I,i1) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode (Divide (I,i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((Divide (I,i1))) is set
K87(K87((Divide (I,i1)))) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
((intloc 0),(intloc 1),7,3) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),7,3) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Divide ((intloc 0),(intloc 1)) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
InsCode (Divide ((intloc 0),(intloc 1))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((Divide ((intloc 0),(intloc 1)))) is set
K87(K87((Divide ((intloc 0),(intloc 1))))) is set
proj1 ((intloc 0),(intloc 1),7,3) is non empty set
{(intloc 0),(intloc 1)} is non empty set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),7,3)) . (intloc 0) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),7,3) . (intloc 0) is set
2 * 3 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(2 * 3) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),7,3)) . (intloc 1) is V11() V12() integer ext-real set
((intloc 0),(intloc 1),7,3) . (intloc 1) is set
Exec ((Divide ((intloc 0),(intloc 1))),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),7,3))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(Divide ((intloc 0),(intloc 1)))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(Divide ((intloc 0),(intloc 1)))) . ( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),7,3)) is set
(Exec ((Divide ((intloc 0),(intloc 1))),( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((intloc 0),(intloc 1),7,3)))) . (intloc 0) is V11() V12() integer ext-real set
7 div 3 is V11() V12() integer ext-real set
k is Element of InsCodes the InstructionsF of SCM+FSA
fsloc 0 is FinSeq-Location
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
- (0 + 1) is V11() V12() integer ext-real non positive set
i1 is V63() Element of the U1 of SCM+FSA
I is V63() Element of the U1 of SCM+FSA
a is FinSeq-Location
i1 := (a,I) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*i1,a,I*> is set
[9,{},<*i1,a,I*>] is V15() V16() set
[[9,{}],<*i1,a,I*>] is V15() set
{[9,{}],<*i1,a,I*>} is non empty set
{{[9,{}],<*i1,a,I*>},{[9,{}]}} is non empty set
InsCode (i1 := (a,I)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((i1 := (a,I))) is set
K87(K87((i1 := (a,I)))) is set
Values (intloc 1) is non empty set
(the_Values_of SCM+FSA) . (intloc 1) is set
Values (intloc 0) is non empty set
(the_Values_of SCM+FSA) . (intloc 0) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
s1 is V11() V12() integer ext-real Element of INT
<*s1*> is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
Values (fsloc 0) is non empty set
(the_Values_of SCM+FSA) . (fsloc 0) is set
<*2*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
k is Element of Values (fsloc 0)
(fsloc 0) .--> k is non empty V2() Relation-like {(fsloc 0)} -defined Values (fsloc 0) -valued Values (fsloc 0) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(fsloc 0)} is non empty V2() 1 -element set
{(fsloc 0)} --> k is non empty Relation-like {(fsloc 0)} -defined Values (fsloc 0) -valued {k} -valued Function-like constant total V40({(fsloc 0)},{k}) Element of K6(K7({(fsloc 0)},{k}))
{k} is non empty V2() 1 -element set
K7({(fsloc 0)},{k}) is Relation-like set
K6(K7({(fsloc 0)},{k})) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> k) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
k is Element of Values (intloc 0)
(intloc 0) .--> k is non empty V2() Relation-like {(intloc 0)} -defined Values (intloc 0) -valued Values (intloc 0) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(intloc 0)} is non empty V2() 1 -element set
{(intloc 0)} --> k is non empty Relation-like {(intloc 0)} -defined Values (intloc 0) -valued {k} -valued Function-like constant total V40({(intloc 0)},{k}) Element of K6(K7({(intloc 0)},{k}))
{k} is non empty V2() 1 -element set
K7({(intloc 0)},{k}) is Relation-like set
K6(K7({(intloc 0)},{k})) is set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> k)) +* ((intloc 0) .--> k) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
j is Element of Values (intloc 1)
(intloc 1) .--> j is non empty V2() Relation-like {(intloc 1)} -defined Values (intloc 1) -valued Values (intloc 1) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(intloc 1)} is non empty V2() 1 -element set
{(intloc 1)} --> j is non empty Relation-like {(intloc 1)} -defined Values (intloc 1) -valued {j} -valued Function-like constant total V40({(intloc 1)},{j}) Element of K6(K7({(intloc 1)},{j}))
{j} is non empty V2() 1 -element set
K7({(intloc 1)},{j}) is Relation-like set
K6(K7({(intloc 1)},{j})) is set
(( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> k)) +* ((intloc 0) .--> k)) +* ((intloc 1) .--> j) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
t is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
t . (intloc 0) is V11() V12() integer ext-real set
t . (fsloc 0) is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
dom (t . (fsloc 0)) is countable Element of K6(NAT)
t . (intloc 1) is V11() V12() integer ext-real set
abs (t . (intloc 1)) is V11() V12() ext-real Element of REAL
(intloc 0) := ((fsloc 0),(intloc 1)) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*(intloc 0),(fsloc 0),(intloc 1)*> is set
[9,{},<*(intloc 0),(fsloc 0),(intloc 1)*>] is V15() V16() set
[[9,{}],<*(intloc 0),(fsloc 0),(intloc 1)*>] is V15() set
{[9,{}],<*(intloc 0),(fsloc 0),(intloc 1)*>} is non empty set
{{[9,{}],<*(intloc 0),(fsloc 0),(intloc 1)*>},{[9,{}]}} is non empty set
Exec (((intloc 0) := ((fsloc 0),(intloc 1))),t) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((intloc 0) := ((fsloc 0),(intloc 1)))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((intloc 0) := ((fsloc 0),(intloc 1)))) . t is set
(Exec (((intloc 0) := ((fsloc 0),(intloc 1))),t)) . (intloc 0) is V11() V12() integer ext-real set
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(t . (fsloc 0)) /. k is V11() V12() integer ext-real Element of INT
(t . (fsloc 0)) . 1 is V11() V12() integer ext-real set
InsCode ((intloc 0) := ((fsloc 0),(intloc 1))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(((intloc 0) := ((fsloc 0),(intloc 1)))) is set
K87(K87(((intloc 0) := ((fsloc 0),(intloc 1))))) is set
P is Element of InsCodes the InstructionsF of SCM+FSA
(a,I) := i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
[10,{},<*i1,a,I*>] is V15() V16() set
[[10,{}],<*i1,a,I*>] is V15() set
{[10,{}],<*i1,a,I*>} is non empty set
{{[10,{}],<*i1,a,I*>},{[10,{}]}} is non empty set
InsCode ((a,I) := i1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(((a,I) := i1)) is set
K87(K87(((a,I) := i1))) is set
Values (intloc 0) is non empty set
(the_Values_of SCM+FSA) . (intloc 0) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
((fsloc 0),(intloc 1)) := (intloc 0) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*(intloc 0),(fsloc 0),(intloc 1)*> is set
[10,{},<*(intloc 0),(fsloc 0),(intloc 1)*>] is V15() V16() set
[[10,{}],<*(intloc 0),(fsloc 0),(intloc 1)*>] is V15() set
{[10,{}],<*(intloc 0),(fsloc 0),(intloc 1)*>} is non empty set
{{[10,{}],<*(intloc 0),(fsloc 0),(intloc 1)*>},{[10,{}]}} is non empty set
InsCode (((fsloc 0),(intloc 1)) := (intloc 0)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((((fsloc 0),(intloc 1)) := (intloc 0))) is set
K87(K87((((fsloc 0),(intloc 1)) := (intloc 0)))) is set
Values (intloc 1) is non empty set
(the_Values_of SCM+FSA) . (intloc 1) is set
k is V11() V12() integer ext-real Element of INT
<*k*> is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
Values (fsloc 0) is non empty set
(the_Values_of SCM+FSA) . (fsloc 0) is set
<*2*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
k is Element of Values (fsloc 0)
(fsloc 0) .--> k is non empty V2() Relation-like {(fsloc 0)} -defined Values (fsloc 0) -valued Values (fsloc 0) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(fsloc 0)} is non empty V2() 1 -element set
{(fsloc 0)} --> k is non empty Relation-like {(fsloc 0)} -defined Values (fsloc 0) -valued {k} -valued Function-like constant total V40({(fsloc 0)},{k}) Element of K6(K7({(fsloc 0)},{k}))
{k} is non empty V2() 1 -element set
K7({(fsloc 0)},{k}) is Relation-like set
K6(K7({(fsloc 0)},{k})) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> k) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
j is Element of Values (intloc 0)
(intloc 0) .--> j is non empty V2() Relation-like {(intloc 0)} -defined Values (intloc 0) -valued Values (intloc 0) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(intloc 0)} is non empty V2() 1 -element set
{(intloc 0)} --> j is non empty Relation-like {(intloc 0)} -defined Values (intloc 0) -valued {j} -valued Function-like constant total V40({(intloc 0)},{j}) Element of K6(K7({(intloc 0)},{j}))
{j} is non empty V2() 1 -element set
K7({(intloc 0)},{j}) is Relation-like set
K6(K7({(intloc 0)},{j})) is set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> k)) +* ((intloc 0) .--> j) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
s2 is Element of Values (intloc 1)
(intloc 1) .--> s2 is non empty V2() Relation-like {(intloc 1)} -defined Values (intloc 1) -valued Values (intloc 1) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(intloc 1)} is non empty V2() 1 -element set
{(intloc 1)} --> s2 is non empty Relation-like {(intloc 1)} -defined Values (intloc 1) -valued {s2} -valued Function-like constant total V40({(intloc 1)},{s2}) Element of K6(K7({(intloc 1)},{s2}))
{s2} is non empty V2() 1 -element set
K7({(intloc 1)},{s2}) is Relation-like set
K6(K7({(intloc 1)},{s2})) is set
(( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> k)) +* ((intloc 0) .--> j)) +* ((intloc 1) .--> s2) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
t is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
t . (intloc 1) is V11() V12() integer ext-real set
abs (t . (intloc 1)) is V11() V12() ext-real Element of REAL
Exec ((((fsloc 0),(intloc 1)) := (intloc 0)),t) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(((fsloc 0),(intloc 1)) := (intloc 0))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(((fsloc 0),(intloc 1)) := (intloc 0))) . t is set
(Exec ((((fsloc 0),(intloc 1)) := (intloc 0)),t)) . (fsloc 0) is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
t . (fsloc 0) is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
t . (intloc 0) is V11() V12() integer ext-real set
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(t . (fsloc 0)) +* (k,(t . (intloc 0))) is Relation-like Function-like FinSequence-like V115() V116() V117() set
<*j*> is Relation-like NAT -defined Values (intloc 0) -valued Function-like FinSequence-like FinSequence of Values (intloc 0)
P is Element of InsCodes the InstructionsF of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
I is V63() Element of the U1 of SCM+FSA
a is FinSeq-Location
i1 := (a,I) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*i1,a,I*> is set
[9,{},<*i1,a,I*>] is V15() V16() set
[[9,{}],<*i1,a,I*>] is V15() set
{[9,{}],<*i1,a,I*>} is non empty set
{{[9,{}],<*i1,a,I*>},{[9,{}]}} is non empty set
InsCode (i1 := (a,I)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((i1 := (a,I))) is set
K87(K87((i1 := (a,I)))) is set
(a,I) := i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
[10,{},<*i1,a,I*>] is V15() V16() set
[[10,{}],<*i1,a,I*>] is V15() set
{[10,{}],<*i1,a,I*>} is non empty set
{{[10,{}],<*i1,a,I*>},{[10,{}]}} is non empty set
InsCode ((a,I) := i1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(((a,I) := i1)) is set
K87(K87(((a,I) := i1))) is set
I is V63() Element of the U1 of SCM+FSA
i1 is FinSeq-Location
I :=len i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[11,{},<*I,i1*>] is V15() V16() set
[[11,{}],<*I,i1*>] is V15() set
{[11,{}],<*I,i1*>} is non empty set
{{[11,{}],<*I,i1*>},{[11,{}]}} is non empty set
InsCode (I :=len i1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((I :=len i1)) is set
K87(K87((I :=len i1))) is set
Values (intloc 0) is non empty set
(the_Values_of SCM+FSA) . (intloc 0) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
(intloc 0) :=len (fsloc 0) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*(intloc 0),(fsloc 0)*> is set
[11,{},<*(intloc 0),(fsloc 0)*>] is V15() V16() set
[[11,{}],<*(intloc 0),(fsloc 0)*>] is V15() set
{[11,{}],<*(intloc 0),(fsloc 0)*>} is non empty set
{{[11,{}],<*(intloc 0),(fsloc 0)*>},{[11,{}]}} is non empty set
InsCode ((intloc 0) :=len (fsloc 0)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(((intloc 0) :=len (fsloc 0))) is set
K87(K87(((intloc 0) :=len (fsloc 0)))) is set
j is V11() V12() integer ext-real Element of INT
<*j*> is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
Values (fsloc 0) is non empty set
(the_Values_of SCM+FSA) . (fsloc 0) is set
<*2*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
s1 is Element of Values (fsloc 0)
(fsloc 0) .--> s1 is non empty V2() Relation-like {(fsloc 0)} -defined Values (fsloc 0) -valued Values (fsloc 0) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(fsloc 0)} is non empty V2() 1 -element set
{(fsloc 0)} --> s1 is non empty Relation-like {(fsloc 0)} -defined Values (fsloc 0) -valued {s1} -valued Function-like constant total V40({(fsloc 0)},{s1}) Element of K6(K7({(fsloc 0)},{s1}))
{s1} is non empty V2() 1 -element set
K7({(fsloc 0)},{s1}) is Relation-like set
K6(K7({(fsloc 0)},{s1})) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> s1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
a is Element of Values (intloc 0)
(intloc 0) .--> a is non empty V2() Relation-like {(intloc 0)} -defined Values (intloc 0) -valued Values (intloc 0) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(intloc 0)} is non empty V2() 1 -element set
{(intloc 0)} --> a is non empty Relation-like {(intloc 0)} -defined Values (intloc 0) -valued {a} -valued Function-like constant total V40({(intloc 0)},{a}) Element of K6(K7({(intloc 0)},{a}))
{a} is non empty V2() 1 -element set
K7({(intloc 0)},{a}) is Relation-like set
K6(K7({(intloc 0)},{a})) is set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> s1)) +* ((intloc 0) .--> a) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
s2 is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
s2 . (fsloc 0) is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
s2 . (intloc 0) is V11() V12() integer ext-real set
Exec (((intloc 0) :=len (fsloc 0)),s2) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((intloc 0) :=len (fsloc 0))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((intloc 0) :=len (fsloc 0))) . s2 is set
(Exec (((intloc 0) :=len (fsloc 0)),s2)) . (intloc 0) is V11() V12() integer ext-real set
len (s2 . (fsloc 0)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is Element of InsCodes the InstructionsF of SCM+FSA
i1 :=<0,...,0> I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
[12,{},<*I,i1*>] is V15() V16() set
[[12,{}],<*I,i1*>] is V15() set
{[12,{}],<*I,i1*>} is non empty set
{{[12,{}],<*I,i1*>},{[12,{}]}} is non empty set
InsCode (i1 :=<0,...,0> I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((i1 :=<0,...,0> I)) is set
K87(K87((i1 :=<0,...,0> I))) is set
Values (intloc 0) is non empty set
(the_Values_of SCM+FSA) . (intloc 0) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
j is V11() V12() integer ext-real Element of INT
<*j*> is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
Values (fsloc 0) is non empty set
(the_Values_of SCM+FSA) . (fsloc 0) is set
<*2*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
s1 is Element of Values (fsloc 0)
(fsloc 0) .--> s1 is non empty V2() Relation-like {(fsloc 0)} -defined Values (fsloc 0) -valued Values (fsloc 0) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(fsloc 0)} is non empty V2() 1 -element set
{(fsloc 0)} --> s1 is non empty Relation-like {(fsloc 0)} -defined Values (fsloc 0) -valued {s1} -valued Function-like constant total V40({(fsloc 0)},{s1}) Element of K6(K7({(fsloc 0)},{s1}))
{s1} is non empty V2() 1 -element set
K7({(fsloc 0)},{s1}) is Relation-like set
K6(K7({(fsloc 0)},{s1})) is set
the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> s1) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
a is Element of Values (intloc 0)
(intloc 0) .--> a is non empty V2() Relation-like {(intloc 0)} -defined Values (intloc 0) -valued Values (intloc 0) -valued Function-like one-to-one constant the_Values_of SCM+FSA -compatible 1 -element set
{(intloc 0)} is non empty V2() 1 -element set
{(intloc 0)} --> a is non empty Relation-like {(intloc 0)} -defined Values (intloc 0) -valued {a} -valued Function-like constant total V40({(intloc 0)},{a}) Element of K6(K7({(intloc 0)},{a}))
{a} is non empty V2() 1 -element set
K7({(intloc 0)},{a}) is Relation-like set
K6(K7({(intloc 0)},{a})) is set
( the Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set +* ((fsloc 0) .--> s1)) +* ((intloc 0) .--> a) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible set
s2 is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
s2 . (fsloc 0) is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
<*0*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding Function-yielding V95() V115() V116() V117() V118() V148() FinSequence of NAT
s2 . (intloc 0) is V11() V12() integer ext-real set
abs (s2 . (intloc 0)) is V11() V12() ext-real Element of REAL
(fsloc 0) :=<0,...,0> (intloc 0) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*(intloc 0),(fsloc 0)*> is set
[12,{},<*(intloc 0),(fsloc 0)*>] is V15() V16() set
[[12,{}],<*(intloc 0),(fsloc 0)*>] is V15() set
{[12,{}],<*(intloc 0),(fsloc 0)*>} is non empty set
{{[12,{}],<*(intloc 0),(fsloc 0)*>},{[12,{}]}} is non empty set
Exec (((fsloc 0) :=<0,...,0> (intloc 0)),s2) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((fsloc 0) :=<0,...,0> (intloc 0))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,((fsloc 0) :=<0,...,0> (intloc 0))) . s2 is set
(Exec (((fsloc 0) :=<0,...,0> (intloc 0)),s2)) . (fsloc 0) is Relation-like NAT -defined INT -valued Function-like FinSequence-like V115() V116() V117() FinSequence of INT
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k |-> 0 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding Function-yielding V95() V115() V116() V117() V118() Element of k -tuples_on NAT
k -tuples_on NAT is FinSequenceSet of NAT
InsCode ((fsloc 0) :=<0,...,0> (intloc 0)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87(((fsloc 0) :=<0,...,0> (intloc 0))) is set
K87(K87(((fsloc 0) :=<0,...,0> (intloc 0)))) is set
t is Element of InsCodes the InstructionsF of SCM+FSA
I is V63() Element of the U1 of SCM+FSA
i1 is FinSeq-Location
I :=len i1 is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
<*I,i1*> is set
[11,{},<*I,i1*>] is V15() V16() set
[[11,{}],<*I,i1*>] is V15() set
{[11,{}],<*I,i1*>} is non empty set
{{[11,{}],<*I,i1*>},{[11,{}]}} is non empty set
InsCode (I :=len i1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((I :=len i1)) is set
K87(K87((I :=len i1))) is set
i1 :=<0,...,0> I is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
[12,{},<*I,i1*>] is V15() V16() set
[[12,{}],<*I,i1*>] is V15() set
{[12,{}],<*I,i1*>} is non empty set
{{[12,{}],<*I,i1*>},{[12,{}]}} is non empty set
InsCode (i1 :=<0,...,0> I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((i1 :=<0,...,0> I)) is set
K87(K87((i1 :=<0,...,0> I))) is set
I is Element of the InstructionsF of SCM+FSA
JUMP I is countable Element of K6(NAT)
{ (NIC (I,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
meet { (NIC (I,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT : verum } is set
I `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87(I) is set
K87(I) `3_3 is set
proj2 (I `2_3) is V125() V126() V127() V128() V130() set
i1 is set
a is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
a := j is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
AddTo (a,j) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
SubFrom (a,j) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
MultBy (a,j) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
Divide (a,j) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto a is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto a is Element of the InstructionsF of SCM
<*a*> is Relation-like Function-like set
[6,<*a*>,{}] is V15() V16() set
[6,<*a*>] is V15() set
{6,<*a*>} is non empty set
{{6,<*a*>},{6}} is non empty set
[[6,<*a*>],{}] is V15() set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto a is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto a is Element of the InstructionsF of SCM
<*a*> is Relation-like Function-like set
[6,<*a*>,{}] is V15() V16() set
[6,<*a*>] is V15() set
{6,<*a*>} is non empty set
{{6,<*a*>},{6}} is non empty set
[[6,<*a*>],{}] is V15() set
(goto a) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((goto a)) is set
K87((goto a)) `3_3 is set
<*a*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
proj2 <*a*> is V125() V126() V127() V130() set
{a} is non empty V2() 1 -element set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
j is V63() Element of the U1 of SCM+FSA
j =0_goto a is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a is V63() Element of the U1 of SCM+FSA
a =0_goto j is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
(a =0_goto j) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((a =0_goto j)) is set
K87((a =0_goto j)) `3_3 is set
<*j*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
proj2 <*j*> is V125() V126() V127() V130() set
{j} is non empty V2() 1 -element set
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
j is V63() Element of the U1 of SCM+FSA
j >0_goto a is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a is V63() Element of the U1 of SCM+FSA
a >0_goto j is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
(a >0_goto j) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((a >0_goto j)) is set
K87((a >0_goto j)) `3_3 is set
<*j*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
proj2 <*j*> is V125() V126() V127() V130() set
{j} is non empty V2() 1 -element set
j is V63() Element of the U1 of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
j := (k,a) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*j,k,a*> is set
[9,{},<*j,k,a*>] is V15() V16() set
[[9,{}],<*j,k,a*>] is V15() set
{[9,{}],<*j,k,a*>} is non empty set
{{[9,{}],<*j,k,a*>},{[9,{}]}} is non empty set
j is V63() Element of the U1 of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
(k,a) := j is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*j,k,a*> is set
[10,{},<*j,k,a*>] is V15() V16() set
[[10,{}],<*j,k,a*>] is V15() set
{[10,{}],<*j,k,a*>} is non empty set
{{[10,{}],<*j,k,a*>},{[10,{}]}} is non empty set
a is V63() Element of the U1 of SCM+FSA
j is FinSeq-Location
a :=len j is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*a,j*> is set
[11,{},<*a,j*>] is V15() V16() set
[[11,{}],<*a,j*>] is V15() set
{[11,{}],<*a,j*>} is non empty set
{{[11,{}],<*a,j*>},{[11,{}]}} is non empty set
a is V63() Element of the U1 of SCM+FSA
j is FinSeq-Location
j :=<0,...,0> a is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*a,j*> is set
[12,{},<*a,j*>] is V15() V16() set
[[12,{}],<*a,j*>] is V15() set
{[12,{}],<*a,j*>} is non empty set
{{[12,{}],<*a,j*>},{[12,{}]}} is non empty set
i1 is set
dom (I `2_3) is countable Element of K6(NAT)
a is set
(I `2_3) . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
j := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
j := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
AddTo (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
AddTo (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
SubFrom (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
SubFrom (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
MultBy (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
MultBy (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
Divide (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
k is V63() Element of the U1 of SCM+FSA
Divide (j,k) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) sequential Element of the InstructionsF of SCM+FSA
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto j is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto j is Element of the InstructionsF of SCM
<*j*> is Relation-like Function-like set
[6,<*j*>,{}] is V15() V16() set
[6,<*j*>] is V15() set
{6,<*j*>} is non empty set
{{6,<*j*>},{6}} is non empty set
[[6,<*j*>],{}] is V15() set
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto j is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto j is Element of the InstructionsF of SCM
<*j*> is Relation-like Function-like set
[6,<*j*>,{}] is V15() V16() set
[6,<*j*>] is V15() set
{6,<*j*>} is non empty set
{{6,<*j*>},{6}} is non empty set
[[6,<*j*>],{}] is V15() set
<*j*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
{j} is non empty V2() 1 -element set
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k =0_goto j is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
j is V63() Element of the U1 of SCM+FSA
j =0_goto k is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
<*k*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
{k} is non empty V2() 1 -element set
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
k is V63() Element of the U1 of SCM+FSA
k >0_goto j is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
j is V63() Element of the U1 of SCM+FSA
j >0_goto k is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) jump-only non sequential Element of the InstructionsF of SCM+FSA
<*k*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
{k} is non empty V2() 1 -element set
k is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
s1 is FinSeq-Location
k := (s1,j) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*k,s1,j*> is set
[9,{},<*k,s1,j*>] is V15() V16() set
[[9,{}],<*k,s1,j*>] is V15() set
{[9,{}],<*k,s1,j*>} is non empty set
{{[9,{}],<*k,s1,j*>},{[9,{}]}} is non empty set
k is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
s1 is FinSeq-Location
k := (s1,j) is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*k,s1,j*> is set
[9,{},<*k,s1,j*>] is V15() V16() set
[[9,{}],<*k,s1,j*>] is V15() set
{[9,{}],<*k,s1,j*>} is non empty set
{{[9,{}],<*k,s1,j*>},{[9,{}]}} is non empty set
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
k is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
s1 is FinSeq-Location
(s1,j) := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*k,s1,j*> is set
[10,{},<*k,s1,j*>] is V15() V16() set
[[10,{}],<*k,s1,j*>] is V15() set
{[10,{}],<*k,s1,j*>} is non empty set
{{[10,{}],<*k,s1,j*>},{[10,{}]}} is non empty set
k is V63() Element of the U1 of SCM+FSA
j is V63() Element of the U1 of SCM+FSA
s1 is FinSeq-Location
(s1,j) := k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*k,s1,j*> is set
[10,{},<*k,s1,j*>] is V15() V16() set
[[10,{}],<*k,s1,j*>] is V15() set
{[10,{}],<*k,s1,j*>} is non empty set
{{[10,{}],<*k,s1,j*>},{[10,{}]}} is non empty set
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
j is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
j :=len k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*j,k*> is set
[11,{},<*j,k*>] is V15() V16() set
[[11,{}],<*j,k*>] is V15() set
{[11,{}],<*j,k*>} is non empty set
{{[11,{}],<*j,k*>},{[11,{}]}} is non empty set
j is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
j :=len k is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*j,k*> is set
[11,{},<*j,k*>] is V15() V16() set
[[11,{}],<*j,k*>] is V15() set
{[11,{}],<*j,k*>} is non empty set
{{[11,{}],<*j,k*>},{[11,{}]}} is non empty set
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
j is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
k :=<0,...,0> j is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*j,k*> is set
[12,{},<*j,k*>] is V15() V16() set
[[12,{}],<*j,k*>] is V15() set
{[12,{}],<*j,k*>} is non empty set
{{[12,{}],<*j,k*>},{[12,{}]}} is non empty set
j is V63() Element of the U1 of SCM+FSA
k is FinSeq-Location
k :=<0,...,0> j is V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) non jump-only sequential Element of the InstructionsF of SCM+FSA
<*j,k*> is set
[12,{},<*j,k*>] is V15() V16() set
[[12,{}],<*j,k*>] is V15() set
{[12,{}],<*j,k*>} is non empty set
{{[12,{}],<*j,k*>},{[12,{}]}} is non empty set
proj1 {} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional V28() cardinal {} -element Cardinal-yielding countable Function-yielding V95() ext-real non negative V115() V116() V117() V118() V146() V147() set
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto I is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto I is Element of the InstructionsF of SCM
<*I*> is Relation-like Function-like set
[6,<*I*>,{}] is V15() V16() set
[6,<*I*>] is V15() set
{6,<*I*>} is non empty set
{{6,<*I*>},{6}} is non empty set
[[6,<*I*>],{}] is V15() set
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
IncAddr ((goto I),i1) is with_explicit_jumps Element of the InstructionsF of SCM+FSA
I + i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto (I + i1) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto (I + i1) is Element of the InstructionsF of SCM
<*(I + i1)*> is Relation-like Function-like set
[6,<*(I + i1)*>,{}] is V15() V16() set
[6,<*(I + i1)*>] is V15() set
{6,<*(I + i1)*>} is non empty set
{{6,<*(I + i1)*>},{6}} is non empty set
[[6,<*(I + i1)*>],{}] is V15() set
InsCode (IncAddr ((goto I),i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((IncAddr ((goto I),i1))) is set
K87(K87((IncAddr ((goto I),i1)))) is set
InsCode (goto I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((goto I)) is set
K87(K87((goto I))) is set
InsCode (goto (I + i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((goto (I + i1))) is set
K87(K87((goto (I + i1)))) is set
(IncAddr ((goto I),i1)) `3_3 is Relation-like Function-like FinSequence-like set
(goto I) `3_3 is Relation-like Function-like FinSequence-like set
(goto (I + i1)) `3_3 is Relation-like Function-like FinSequence-like set
(IncAddr ((goto I),i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((IncAddr ((goto I),i1))) `3_3 is set
(goto I) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((goto I)) `3_3 is set
i1 + ((goto I) `2_3) is Relation-like Function-like set
dom ((IncAddr ((goto I),i1)) `2_3) is countable Element of K6(NAT)
dom ((goto I) `2_3) is countable Element of K6(NAT)
(goto (I + i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((goto (I + i1))) `3_3 is set
a is set
((IncAddr ((goto I),i1)) `2_3) . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
((goto (I + i1)) `2_3) . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
<*I*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
dom <*I*> is countable Element of K6(NAT)
((goto I) `2_3) . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
i1 + (((goto I) `2_3) . a) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
<*I*> . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
<*(I + i1)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
<*(I + i1)*> . a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
dom ((goto (I + i1)) `2_3) is countable Element of K6(NAT)
<*(I + i1)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
dom <*(I + i1)*> is countable Element of K6(NAT)
<*I*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
dom <*I*> is countable Element of K6(NAT)
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
I + i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a is V63() Element of the U1 of SCM+FSA
a =0_goto I is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
IncAddr ((a =0_goto I),i1) is with_explicit_jumps Element of the InstructionsF of SCM+FSA
a =0_goto (I + i1) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
InsCode (IncAddr ((a =0_goto I),i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((IncAddr ((a =0_goto I),i1))) is set
K87(K87((IncAddr ((a =0_goto I),i1)))) is set
InsCode (a =0_goto I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((a =0_goto I)) is set
K87(K87((a =0_goto I))) is set
InsCode (a =0_goto (I + i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((a =0_goto (I + i1))) is set
K87(K87((a =0_goto (I + i1)))) is set
<*I*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
<*a*> is Relation-like Function-like set
[7,<*I*>,<*a*>] is V15() V16() set
[7,<*I*>] is V15() set
{7,<*I*>} is non empty set
{7} is non empty V2() 1 -element set
{{7,<*I*>},{7}} is non empty set
[[7,<*I*>],<*a*>] is V15() set
{[7,<*I*>],<*a*>} is non empty set
{[7,<*I*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[7,<*I*>],<*a*>},{[7,<*I*>]}} is non empty set
<*(I + i1)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
[7,<*(I + i1)*>,<*a*>] is V15() V16() set
[7,<*(I + i1)*>] is V15() set
{7,<*(I + i1)*>} is non empty set
{{7,<*(I + i1)*>},{7}} is non empty set
[[7,<*(I + i1)*>],<*a*>] is V15() set
{[7,<*(I + i1)*>],<*a*>} is non empty set
{[7,<*(I + i1)*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[7,<*(I + i1)*>],<*a*>},{[7,<*(I + i1)*>]}} is non empty set
(IncAddr ((a =0_goto I),i1)) `3_3 is Relation-like Function-like FinSequence-like set
(a =0_goto I) `3_3 is Relation-like Function-like FinSequence-like set
(a =0_goto (I + i1)) `3_3 is Relation-like Function-like FinSequence-like set
(IncAddr ((a =0_goto I),i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((IncAddr ((a =0_goto I),i1))) `3_3 is set
(a =0_goto I) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((a =0_goto I)) `3_3 is set
i1 + ((a =0_goto I) `2_3) is Relation-like Function-like set
dom ((IncAddr ((a =0_goto I),i1)) `2_3) is countable Element of K6(NAT)
dom ((a =0_goto I) `2_3) is countable Element of K6(NAT)
(a =0_goto (I + i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((a =0_goto (I + i1))) `3_3 is set
j is set
((IncAddr ((a =0_goto I),i1)) `2_3) . j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
((a =0_goto (I + i1)) `2_3) . j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
dom <*I*> is countable Element of K6(NAT)
((a =0_goto I) `2_3) . j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
i1 + (((a =0_goto I) `2_3) . j) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
<*I*> . j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
<*(I + i1)*> . j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
dom ((a =0_goto (I + i1)) `2_3) is countable Element of K6(NAT)
dom <*(I + i1)*> is countable Element of K6(NAT)
dom <*I*> is countable Element of K6(NAT)
I is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
I + i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a is V63() Element of the U1 of SCM+FSA
a >0_goto I is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
IncAddr ((a >0_goto I),i1) is with_explicit_jumps Element of the InstructionsF of SCM+FSA
a >0_goto (I + i1) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
InsCode (IncAddr ((a >0_goto I),i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((IncAddr ((a >0_goto I),i1))) is set
K87(K87((IncAddr ((a >0_goto I),i1)))) is set
InsCode (a >0_goto I) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((a >0_goto I)) is set
K87(K87((a >0_goto I))) is set
InsCode (a >0_goto (I + i1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable jump-only ext-real non negative Element of InsCodes the InstructionsF of SCM+FSA
K87((a >0_goto (I + i1))) is set
K87(K87((a >0_goto (I + i1)))) is set
<*I*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
<*a*> is Relation-like Function-like set
[8,<*I*>,<*a*>] is V15() V16() set
[8,<*I*>] is V15() set
{8,<*I*>} is non empty set
{8} is non empty V2() 1 -element set
{{8,<*I*>},{8}} is non empty set
[[8,<*I*>],<*a*>] is V15() set
{[8,<*I*>],<*a*>} is non empty set
{[8,<*I*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[8,<*I*>],<*a*>},{[8,<*I*>]}} is non empty set
<*(I + i1)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like Cardinal-yielding V115() V116() V117() V118() FinSequence of NAT
[8,<*(I + i1)*>,<*a*>] is V15() V16() set
[8,<*(I + i1)*>] is V15() set
{8,<*(I + i1)*>} is non empty set
{{8,<*(I + i1)*>},{8}} is non empty set
[[8,<*(I + i1)*>],<*a*>] is V15() set
{[8,<*(I + i1)*>],<*a*>} is non empty set
{[8,<*(I + i1)*>]} is non empty V2() Relation-like Function-like constant 1 -element set
{{[8,<*(I + i1)*>],<*a*>},{[8,<*(I + i1)*>]}} is non empty set
(IncAddr ((a >0_goto I),i1)) `3_3 is Relation-like Function-like FinSequence-like set
(a >0_goto I) `3_3 is Relation-like Function-like FinSequence-like set
(a >0_goto (I + i1)) `3_3 is Relation-like Function-like FinSequence-like set
(IncAddr ((a >0_goto I),i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((IncAddr ((a >0_goto I),i1))) `3_3 is set
(a >0_goto I) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((a >0_goto I)) `3_3 is set
i1 + ((a >0_goto I) `2_3) is Relation-like Function-like set
dom ((IncAddr ((a >0_goto I),i1)) `2_3) is countable Element of K6(NAT)
dom ((a >0_goto I) `2_3) is countable Element of K6(NAT)
(a >0_goto (I + i1)) `2_3 is Relation-like NAT -valued RAT -valued Function-like FinSequence-like V115() V116() V117() V118() set
K87((a >0_goto (I + i1))) `3_3 is set
j is set
((IncAddr ((a >0_goto I),i1)) `2_3) . j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
((a >0_goto (I + i1)) `2_3) . j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
dom <*I*> is countable Element of K6(NAT)
((a >0_goto I) `2_3) . 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
((IncAddr ((a >0_goto I),i1)) `2_3) . 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
i1 + (((a >0_goto I) `2_3) . 1) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
<*I*> . j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
<*(I + i1)*> . j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
dom ((a >0_goto (I + i1)) `2_3) is countable Element of K6(NAT)
dom <*(I + i1)*> is countable Element of K6(NAT)
dom <*I*> is countable Element of K6(NAT)
I is with_explicit_jumps Element of the InstructionsF of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
i1 := a is ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
AddTo (i1,a) is ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
SubFrom (i1,a) is ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
MultBy (i1,a) is ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
a is V63() Element of the U1 of SCM+FSA
Divide (i1,a) is ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps IC-relocable sequential Element of the InstructionsF of SCM+FSA
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
IncAddr (I,i1) is with_explicit_jumps Element of the InstructionsF of SCM+FSA
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
i1 + a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
IncAddr (I,(i1 + a)) is with_explicit_jumps Element of the InstructionsF of SCM+FSA
j is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((IncAddr (I,i1)),j) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,i1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,i1))) . j is set
IC (Exec ((IncAddr (I,i1)),j)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((IncAddr (I,i1)),j)) . (IC ) is set
(IC (Exec ((IncAddr (I,i1)),j))) + a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
IncIC (j,a) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
IC j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
j . (IC ) is set
(IC j) + a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
Start-At (((IC j) + a),SCM+FSA) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible V28() countable (IC j) + a -started V147() set
(IC ) .--> ((IC j) + a) is non empty V2() Relation-like {(IC )} -defined NAT -valued INT -valued RAT -valued Function-like one-to-one constant 1 -element Cardinal-yielding V115() V116() V117() V118() V119() V120() V121() V122() set
{(IC )} is non empty V2() 1 -element set
{(IC )} --> ((IC j) + a) is non empty Relation-like {(IC )} -defined NAT -valued INT -valued RAT -valued {((IC j) + a)} -valued Function-like constant total V40({(IC )},{((IC j) + a)}) Cardinal-yielding V115() V116() V117() V118() Element of K6(K7({(IC )},{((IC j) + a)}))
{((IC j) + a)} is non empty V2() 1 -element set
K7({(IC )},{((IC j) + a)}) is Relation-like set
K6(K7({(IC )},{((IC j) + a)})) is set
j +* (Start-At (((IC j) + a),SCM+FSA)) is non empty Relation-like the U1 of SCM+FSA -defined the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible the_Values_of SCM+FSA -compatible total (IC j) + a -started set
Exec ((IncAddr (I,(i1 + a))),(IncIC (j,a))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,(i1 + a)))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,(i1 + a)))) . (IncIC (j,a)) is set
IC (Exec ((IncAddr (I,(i1 + a))),(IncIC (j,a)))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((IncAddr (I,(i1 + a))),(IncIC (j,a)))) . (IC ) is set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto s1 is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto s1 is Element of the InstructionsF of SCM
<*s1*> is Relation-like Function-like set
[6,<*s1*>,{}] is V15() V16() set
[6,<*s1*>] is V15() set
{6,<*s1*>} is non empty set
{{6,<*s1*>},{6}} is non empty set
[[6,<*s1*>],{}] is V15() set
s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto s1 is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto s1 is Element of the InstructionsF of SCM
<*s1*> is Relation-like Function-like set
[6,<*s1*>,{}] is V15() V16() set
[6,<*s1*>] is V15() set
{6,<*s1*>} is non empty set
{{6,<*s1*>},{6}} is non empty set
[[6,<*s1*>],{}] is V15() set
i1 + s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto (i1 + s1) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto (i1 + s1) is Element of the InstructionsF of SCM
<*(i1 + s1)*> is Relation-like Function-like set
[6,<*(i1 + s1)*>,{}] is V15() V16() set
[6,<*(i1 + s1)*>] is V15() set
{6,<*(i1 + s1)*>} is non empty set
{{6,<*(i1 + s1)*>},{6}} is non empty set
[[6,<*(i1 + s1)*>],{}] is V15() set
Exec ((goto (i1 + s1)),j) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(goto (i1 + s1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(goto (i1 + s1))) . j is set
IC (Exec ((goto (i1 + s1)),j)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((goto (i1 + s1)),j)) . (IC ) is set
(IC (Exec ((goto (i1 + s1)),j))) + a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(i1 + s1) + a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(i1 + a) + s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
goto ((i1 + a) + s1) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
SCM-goto ((i1 + a) + s1) is Element of the InstructionsF of SCM
<*((i1 + a) + s1)*> is Relation-like Function-like set
[6,<*((i1 + a) + s1)*>,{}] is V15() V16() set
[6,<*((i1 + a) + s1)*>] is V15() set
{6,<*((i1 + a) + s1)*>} is non empty set
{{6,<*((i1 + a) + s1)*>},{6}} is non empty set
[[6,<*((i1 + a) + s1)*>],{}] is V15() set
Exec ((goto ((i1 + a) + s1)),(IncIC (j,a))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(goto ((i1 + a) + s1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(goto ((i1 + a) + s1))) . (IncIC (j,a)) is set
IC (Exec ((goto ((i1 + a) + s1)),(IncIC (j,a)))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((goto ((i1 + a) + s1)),(IncIC (j,a)))) . (IC ) is set
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a is V63() Element of the U1 of SCM+FSA
a =0_goto i1 is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 is V63() Element of the U1 of SCM+FSA
i1 =0_goto a is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
IncAddr (I,j) is with_explicit_jumps Element of the InstructionsF of SCM+FSA
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
j + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
IncAddr (I,(j + k)) is with_explicit_jumps Element of the InstructionsF of SCM+FSA
s1 is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((IncAddr (I,j)),s1) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,j))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,j))) . s1 is set
IC (Exec ((IncAddr (I,j)),s1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((IncAddr (I,j)),s1)) . (IC ) is set
(IC (Exec ((IncAddr (I,j)),s1))) + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
IncIC (s1,k) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
IC s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
s1 . (IC ) is set
(IC s1) + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
Start-At (((IC s1) + k),SCM+FSA) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible V28() countable (IC s1) + k -started V147() set
(IC ) .--> ((IC s1) + k) is non empty V2() Relation-like {(IC )} -defined NAT -valued INT -valued RAT -valued Function-like one-to-one constant 1 -element Cardinal-yielding V115() V116() V117() V118() V119() V120() V121() V122() set
{(IC )} is non empty V2() 1 -element set
{(IC )} --> ((IC s1) + k) is non empty Relation-like {(IC )} -defined NAT -valued INT -valued RAT -valued {((IC s1) + k)} -valued Function-like constant total V40({(IC )},{((IC s1) + k)}) Cardinal-yielding V115() V116() V117() V118() Element of K6(K7({(IC )},{((IC s1) + k)}))
{((IC s1) + k)} is non empty V2() 1 -element set
K7({(IC )},{((IC s1) + k)}) is Relation-like set
K6(K7({(IC )},{((IC s1) + k)})) is set
s1 +* (Start-At (((IC s1) + k),SCM+FSA)) is non empty Relation-like the U1 of SCM+FSA -defined the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible the_Values_of SCM+FSA -compatible total (IC s1) + k -started set
Exec ((IncAddr (I,(j + k))),(IncIC (s1,k))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,(j + k)))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,(j + k)))) . (IncIC (s1,k)) is set
IC (Exec ((IncAddr (I,(j + k))),(IncIC (s1,k)))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((IncAddr (I,(j + k))),(IncIC (s1,k)))) . (IC ) is set
proj1 ((IC ) .--> ((IC s1) + k)) is non empty V2() 1 -element set
s1 . i1 is V11() V12() integer ext-real set
(IncIC (s1,k)) . i1 is V11() V12() integer ext-real set
j + a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 =0_goto (j + a) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
Exec ((i1 =0_goto (j + a)),s1) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(i1 =0_goto (j + a))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(i1 =0_goto (j + a))) . s1 is set
IC (Exec ((i1 =0_goto (j + a)),s1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((i1 =0_goto (j + a)),s1)) . (IC ) is set
(IC (Exec ((i1 =0_goto (j + a)),s1))) + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(j + a) + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(j + k) + a is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 =0_goto ((j + k) + a) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
Exec ((i1 =0_goto ((j + k) + a)),(IncIC (s1,k))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(i1 =0_goto ((j + k) + a))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(i1 =0_goto ((j + k) + a))) . (IncIC (s1,k)) is set
IC (Exec ((i1 =0_goto ((j + k) + a)),(IncIC (s1,k)))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((i1 =0_goto ((j + k) + a)),(IncIC (s1,k)))) . (IC ) is set
a + j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 =0_goto (a + j) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
a + (j + k) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
i1 =0_goto (a + (j + k)) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
IC (IncIC (s1,k)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(IncIC (s1,k)) . (IC ) is set
((IC ) .--> ((IC s1) + k)) . (IC ) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
succ (IC s1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC s1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
(succ (IC s1)) + k is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
succ (IC (IncIC (s1,k))) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC (IncIC (s1,k))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a is V63() Element of the U1 of SCM+FSA
a >0_goto i1 is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a is V63() Element of the U1 of SCM+FSA
a >0_goto i1 is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
IncAddr (I,j) is with_explicit_jumps Element of the InstructionsF of SCM+FSA
k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
j + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative set
IncAddr (I,(j + k)) is with_explicit_jumps Element of the InstructionsF of SCM+FSA
s1 is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
Exec ((IncAddr (I,j)),s1) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA) is functional with_common_domain product-like set
K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) is set
the Execution of SCM+FSA is Relation-like the InstructionsF of SCM+FSA -defined K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))) -valued Function-like V40( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) Element of K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))))
K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))) is Relation-like set
K6(K7( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))))) is set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,j))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,j))) . s1 is set
IC (Exec ((IncAddr (I,j)),s1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((IncAddr (I,j)),s1)) . (IC ) is set
(IC (Exec ((IncAddr (I,j)),s1))) + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
IncIC (s1,k) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
IC s1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
s1 . (IC ) is set
(IC s1) + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
Start-At (((IC s1) + k),SCM+FSA) is non empty Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible V28() countable (IC s1) + k -started V147() set
(IC ) .--> ((IC s1) + k) is non empty V2() Relation-like {(IC )} -defined NAT -valued INT -valued RAT -valued Function-like one-to-one constant 1 -element Cardinal-yielding V115() V116() V117() V118() V119() V120() V121() V122() set
{(IC )} is non empty V2() 1 -element set
{(IC )} --> ((IC s1) + k) is non empty Relation-like {(IC )} -defined NAT -valued INT -valued RAT -valued {((IC s1) + k)} -valued Function-like constant total V40({(IC )},{((IC s1) + k)}) Cardinal-yielding V115() V116() V117() V118() Element of K6(K7({(IC )},{((IC s1) + k)}))
{((IC s1) + k)} is non empty V2() 1 -element set
K7({(IC )},{((IC s1) + k)}) is Relation-like set
K6(K7({(IC )},{((IC s1) + k)})) is set
s1 +* (Start-At (((IC s1) + k),SCM+FSA)) is non empty Relation-like the U1 of SCM+FSA -defined the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible the_Values_of SCM+FSA -compatible total (IC s1) + k -started set
Exec ((IncAddr (I,(j + k))),(IncIC (s1,k))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,(j + k)))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(IncAddr (I,(j + k)))) . (IncIC (s1,k)) is set
IC (Exec ((IncAddr (I,(j + k))),(IncIC (s1,k)))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((IncAddr (I,(j + k))),(IncIC (s1,k)))) . (IC ) is set
proj1 ((IC ) .--> ((IC s1) + k)) is non empty V2() 1 -element set
s1 . a is V11() V12() integer ext-real set
(IncIC (s1,k)) . a is V11() V12() integer ext-real set
j + i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a >0_goto (j + i1) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
Exec ((a >0_goto (j + i1)),s1) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(a >0_goto (j + i1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(a >0_goto (j + i1))) . s1 is set
IC (Exec ((a >0_goto (j + i1)),s1)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((a >0_goto (j + i1)),s1)) . (IC ) is set
(IC (Exec ((a >0_goto (j + i1)),s1))) + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(j + i1) + k is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(j + k) + i1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a >0_goto ((j + k) + i1) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
Exec ((a >0_goto ((j + k) + i1)),(IncIC (s1,k))) is Relation-like the U1 of SCM+FSA -defined Function-like the_Values_of SCM+FSA -compatible total set
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(a >0_goto ((j + k) + i1))) is Element of K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)))
K164( the InstructionsF of SCM+FSA,K162((product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA)),(product ( the Object-Kind of SCM+FSA * the ValuesF of SCM+FSA))), the Execution of SCM+FSA,(a >0_goto ((j + k) + i1))) . (IncIC (s1,k)) is set
IC (Exec ((a >0_goto ((j + k) + i1)),(IncIC (s1,k)))) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(Exec ((a >0_goto ((j + k) + i1)),(IncIC (s1,k)))) . (IC ) is set
i1 + j is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a >0_goto (i1 + j) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
i1 + (j + k) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
a >0_goto (i1 + (j + k)) is non ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps jump-only non sequential Element of the InstructionsF of SCM+FSA
IC (IncIC (s1,k)) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative Element of NAT
(IncIC (s1,k)) . (IC ) is set
((IC ) .--> ((IC s1) + k)) . (IC ) is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable ext-real non negative V114() set
succ (IC s1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC s1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
(succ (IC s1)) + k is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
succ (IC (IncIC (s1,k))) is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real non negative set
(IC (IncIC (s1,k))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V28() cardinal countable non with_non-empty_elements ext-real positive non negative Element of NAT
a is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
j is FinSeq-Location
a := (j,i1) is ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps IC-relocable non jump-only sequential Element of the InstructionsF of SCM+FSA
<*a,j,i1*> is set
[9,{},<*a,j,i1*>] is V15() V16() set
[[9,{}],<*a,j,i1*>] is V15() set
{[9,{}],<*a,j,i1*>} is non empty set
{{[9,{}],<*a,j,i1*>},{[9,{}]}} is non empty set
a is V63() Element of the U1 of SCM+FSA
i1 is V63() Element of the U1 of SCM+FSA
j is FinSeq-Location
(j,i1) := a is ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps IC-relocable non jump-only sequential Element of the InstructionsF of SCM+FSA
<*a,j,i1*> is set
[10,{},<*a,j,i1*>] is V15() V16() set
[[10,{}],<*a,j,i1*>] is V15() set
{[10,{}],<*a,j,i1*>} is non empty set
{{[10,{}],<*a,j,i1*>},{[10,{}]}} is non empty set
i1 is V63() Element of the U1 of SCM+FSA
a is FinSeq-Location
i1 :=len a is ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps IC-relocable non jump-only sequential Element of the InstructionsF of SCM+FSA
<*i1,a*> is set
[11,{},<*i1,a*>] is V15() V16() set
[[11,{}],<*i1,a*>] is V15() set
{[11,{}],<*i1,a*>} is non empty set
{{[11,{}],<*i1,a*>},{[11,{}]}} is non empty set
i1 is V63() Element of the U1 of SCM+FSA
a is FinSeq-Location
a :=<0,...,0> i1 is ins-loc-free V77( the InstructionsF of SCM+FSA) V90(3, SCM+FSA ) with_explicit_jumps IC-relocable non jump-only sequential Element of the InstructionsF of SCM+FSA
<*i1,a*> is set
[12,{},<*i1,a*>] is V15() V16() set
[[12,{}],<*i1,a*>] is V15() set
{[12,{}],<*i1,a*>} is non empty set
{{[12,{}],<*i1,a*>},{[12,{}]}} is non empty set